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Finding the Fourth Proportional to 224,032.98, 309,165.35 and 123,430.98

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Solution

The fourth proportional to 224,032.98, 309,165.35 and 123,430.98 is: 170,334.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,032.98 : 309,165.35 = 123,430.98 : x
  2. Step 2: Convert to fraction form
    224,032.98/309,165.35 = 123,430.98/x
  3. Step 3: Cross multiply
    224,032.98x = 309,165.35 × 123,430.98
  4. Step 4: Simplify right side
    224,032.98x = 38,160,581,515.39
  5. Step 5: Solve for x
    x = 38,160,581,515.39/224,032.98
  6. Step 6: Final answer
    x = 170,334.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.