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Finding the Fourth Proportional to 101,602.70, 140,212.84 and 56,281.38

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Solution

The fourth proportional to 101,602.70, 140,212.84 and 56,281.38 is: 77,668.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,602.70 : 140,212.84 = 56,281.38 : x
  2. Step 2: Convert to fraction form
    101,602.70/140,212.84 = 56,281.38/x
  3. Step 3: Cross multiply
    101,602.70x = 140,212.84 × 56,281.38
  4. Step 4: Simplify right side
    101,602.70x = 7,891,372,128.92
  5. Step 5: Solve for x
    x = 7,891,372,128.92/101,602.70
  6. Step 6: Final answer
    x = 77,668.92

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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.