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Finding the Fourth Proportional to 207,098.95, 310,150.20 and 118,082.58

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Solution

The fourth proportional to 207,098.95, 310,150.20 and 118,082.58 is: 176,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,098.95 : 310,150.20 = 118,082.58 : x
  2. Step 2: Convert to fraction form
    207,098.95/310,150.20 = 118,082.58/x
  3. Step 3: Cross multiply
    207,098.95x = 310,150.20 × 118,082.58
  4. Step 4: Simplify right side
    207,098.95x = 36,623,337,534.10
  5. Step 5: Solve for x
    x = 36,623,337,534.10/207,098.95
  6. Step 6: Final answer
    x = 176,839.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.