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Finding the Fourth Proportional to 114,013.16, 157,337 and 63,712.16

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Solution

The fourth proportional to 114,013.16, 157,337 and 63,712.16 is: 87,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,013.16 : 157,337 = 63,712.16 : x
  2. Step 2: Convert to fraction form
    114,013.16/157,337 = 63,712.16/x
  3. Step 3: Cross multiply
    114,013.16x = 157,337 × 63,712.16
  4. Step 4: Simplify right side
    114,013.16x = 10,024,280,117.92
  5. Step 5: Solve for x
    x = 10,024,280,117.92/114,013.16
  6. Step 6: Final answer
    x = 87,922.13

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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.