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Finding the Fourth Proportional to 278,248.95, 417,389.58 and 78,552.62

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Solution

The fourth proportional to 278,248.95, 417,389.58 and 78,552.62 is: 117,833.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,248.95 : 417,389.58 = 78,552.62 : x
  2. Step 2: Convert to fraction form
    278,248.95/417,389.58 = 78,552.62/x
  3. Step 3: Cross multiply
    278,248.95x = 417,389.58 × 78,552.62
  4. Step 4: Simplify right side
    278,248.95x = 32,787,044,547.96
  5. Step 5: Solve for x
    x = 32,787,044,547.96/278,248.95
  6. Step 6: Final answer
    x = 117,833.49

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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.