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Finding the Fourth Proportional to 194,953.80, 292,430.70 and 101,447.40

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Solution

The fourth proportional to 194,953.80, 292,430.70 and 101,447.40 is: 152,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,953.80 : 292,430.70 = 101,447.40 : x
  2. Step 2: Convert to fraction form
    194,953.80/292,430.70 = 101,447.40/x
  3. Step 3: Cross multiply
    194,953.80x = 292,430.70 × 101,447.40
  4. Step 4: Simplify right side
    194,953.80x = 29,666,334,195.18
  5. Step 5: Solve for x
    x = 29,666,334,195.18/194,953.80
  6. Step 6: Final answer
    x = 152,171.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.