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Finding the Fourth Proportional to 278,291.32, 384,042.11 and 157,430.05

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Solution

The fourth proportional to 278,291.32, 384,042.11 and 157,430.05 is: 217,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,291.32 : 384,042.11 = 157,430.05 : x
  2. Step 2: Convert to fraction form
    278,291.32/384,042.11 = 157,430.05/x
  3. Step 3: Cross multiply
    278,291.32x = 384,042.11 × 157,430.05
  4. Step 4: Simplify right side
    278,291.32x = 60,459,768,579.41
  5. Step 5: Solve for x
    x = 60,459,768,579.41/278,291.32
  6. Step 6: Final answer
    x = 217,253.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.