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Finding the Fourth Proportional to 113,465.80, 156,569.22 and 65,712.52

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Solution

The fourth proportional to 113,465.80, 156,569.22 and 65,712.52 is: 90,675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,465.80 : 156,569.22 = 65,712.52 : x
  2. Step 2: Convert to fraction form
    113,465.80/156,569.22 = 65,712.52/x
  3. Step 3: Cross multiply
    113,465.80x = 156,569.22 × 65,712.52
  4. Step 4: Simplify right side
    113,465.80x = 10,288,558,000.63
  5. Step 5: Solve for x
    x = 10,288,558,000.63/113,465.80
  6. Step 6: Final answer
    x = 90,675.41

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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.