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Finding the Fourth Proportional to 102,061, 152,982.15 and 49,354.30

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Solution

The fourth proportional to 102,061, 152,982.15 and 49,354.30 is: 73,978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,061 : 152,982.15 = 49,354.30 : x
  2. Step 2: Convert to fraction form
    102,061/152,982.15 = 49,354.30/x
  3. Step 3: Cross multiply
    102,061x = 152,982.15 × 49,354.30
  4. Step 4: Simplify right side
    102,061x = 7,550,326,925.75
  5. Step 5: Solve for x
    x = 7,550,326,925.75/102,061
  6. Step 6: Final answer
    x = 73,978.57

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