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Finding the Fourth Proportional to 97,156.80, 134,092.80 and 59,443.20

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Solution

The fourth proportional to 97,156.80, 134,092.80 and 59,443.20 is: 82,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,156.80 : 134,092.80 = 59,443.20 : x
  2. Step 2: Convert to fraction form
    97,156.80/134,092.80 = 59,443.20/x
  3. Step 3: Cross multiply
    97,156.80x = 134,092.80 × 59,443.20
  4. Step 4: Simplify right side
    97,156.80x = 7,970,905,128.96
  5. Step 5: Solve for x
    x = 7,970,905,128.96/97,156.80
  6. Step 6: Final answer
    x = 82,041.66

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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.