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Finding the Fourth Proportional to 102,952.30, 154,428.45 and 98,140.90

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Solution

The fourth proportional to 102,952.30, 154,428.45 and 98,140.90 is: 147,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,952.30 : 154,428.45 = 98,140.90 : x
  2. Step 2: Convert to fraction form
    102,952.30/154,428.45 = 98,140.90/x
  3. Step 3: Cross multiply
    102,952.30x = 154,428.45 × 98,140.90
  4. Step 4: Simplify right side
    102,952.30x = 15,155,747,068.61
  5. Step 5: Solve for x
    x = 15,155,747,068.61/102,952.30
  6. Step 6: Final answer
    x = 147,211.35

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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.