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Finding the Fourth Proportional to 114,013, 157,337.94 and 63,712

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Solution

The fourth proportional to 114,013, 157,337.94 and 63,712 is: 87,922.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,013 : 157,337.94 = 63,712 : x
  2. Step 2: Convert to fraction form
    114,013/157,337.94 = 63,712/x
  3. Step 3: Cross multiply
    114,013x = 157,337.94 × 63,712
  4. Step 4: Simplify right side
    114,013x = 10,024,314,833.28
  5. Step 5: Solve for x
    x = 10,024,314,833.28/114,013
  6. Step 6: Final answer
    x = 87,922.56

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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.