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Finding the Fourth Proportional to 101,830.40, 140,526.68 and 56,508.56

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Solution

The fourth proportional to 101,830.40, 140,526.68 and 56,508.56 is: 77,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,830.40 : 140,526.68 = 56,508.56 : x
  2. Step 2: Convert to fraction form
    101,830.40/140,526.68 = 56,508.56/x
  3. Step 3: Cross multiply
    101,830.40x = 140,526.68 × 56,508.56
  4. Step 4: Simplify right side
    101,830.40x = 7,940,960,328.38
  5. Step 5: Solve for x
    x = 7,940,960,328.38/101,830.40
  6. Step 6: Final answer
    x = 77,982.22

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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.