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Finding the Fourth Proportional to 185,430.30, 278,145.45 and 52,314.90

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Solution

The fourth proportional to 185,430.30, 278,145.45 and 52,314.90 is: 78,472.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,430.30 : 278,145.45 = 52,314.90 : x
  2. Step 2: Convert to fraction form
    185,430.30/278,145.45 = 52,314.90/x
  3. Step 3: Cross multiply
    185,430.30x = 278,145.45 × 52,314.90
  4. Step 4: Simplify right side
    185,430.30x = 14,551,151,402.21
  5. Step 5: Solve for x
    x = 14,551,151,402.21/185,430.30
  6. Step 6: Final answer
    x = 78,472.35

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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.