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Finding the Fourth Proportional to 157,024.44, 216,694.74 and 85,404.96

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Solution

The fourth proportional to 157,024.44, 216,694.74 and 85,404.96 is: 117,859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,024.44 : 216,694.74 = 85,404.96 : x
  2. Step 2: Convert to fraction form
    157,024.44/216,694.74 = 85,404.96/x
  3. Step 3: Cross multiply
    157,024.44x = 216,694.74 × 85,404.96
  4. Step 4: Simplify right side
    157,024.44x = 18,506,805,601.91
  5. Step 5: Solve for x
    x = 18,506,805,601.91/157,024.44
  6. Step 6: Final answer
    x = 117,859.40

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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.