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Finding the Fourth Proportional to 114,013.64, 157,337.70 and 63,712.64

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Solution

The fourth proportional to 114,013.64, 157,337.70 and 63,712.64 is: 87,922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,013.64 : 157,337.70 = 63,712.64 : x
  2. Step 2: Convert to fraction form
    114,013.64/157,337.70 = 63,712.64/x
  3. Step 3: Cross multiply
    114,013.64x = 157,337.70 × 63,712.64
  4. Step 4: Simplify right side
    114,013.64x = 10,024,400,238.53
  5. Step 5: Solve for x
    x = 10,024,400,238.53/114,013.64
  6. Step 6: Final answer
    x = 87,922.82

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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.