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Finding the Fourth Proportional to 113,744.86, 156,973.36 and 63,434.14

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Solution

The fourth proportional to 113,744.86, 156,973.36 and 63,434.14 is: 87,542.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,744.86 : 156,973.36 = 63,434.14 : x
  2. Step 2: Convert to fraction form
    113,744.86/156,973.36 = 63,434.14/x
  3. Step 3: Cross multiply
    113,744.86x = 156,973.36 × 63,434.14
  4. Step 4: Simplify right side
    113,744.86x = 9,957,470,094.51
  5. Step 5: Solve for x
    x = 9,957,470,094.51/113,744.86
  6. Step 6: Final answer
    x = 87,542.15

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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.