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Finding the Fourth Proportional to 224,032.12, 309,164.14 and 123,430.12

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Solution

The fourth proportional to 224,032.12, 309,164.14 and 123,430.12 is: 170,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,032.12 : 309,164.14 = 123,430.12 : x
  2. Step 2: Convert to fraction form
    224,032.12/309,164.14 = 123,430.12/x
  3. Step 3: Cross multiply
    224,032.12x = 309,164.14 × 123,430.12
  4. Step 4: Simplify right side
    224,032.12x = 38,160,166,899.90
  5. Step 5: Solve for x
    x = 38,160,166,899.90/224,032.12
  6. Step 6: Final answer
    x = 170,333.46

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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.