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Finding the Fourth Proportional to 278,019.68, 383,708.14 and 176,054.46

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Solution

The fourth proportional to 278,019.68, 383,708.14 and 176,054.46 is: 242,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,019.68 : 383,708.14 = 176,054.46 : x
  2. Step 2: Convert to fraction form
    278,019.68/383,708.14 = 176,054.46/x
  3. Step 3: Cross multiply
    278,019.68x = 383,708.14 × 176,054.46
  4. Step 4: Simplify right side
    278,019.68x = 67,553,529,385.30
  5. Step 5: Solve for x
    x = 67,553,529,385.30/278,019.68
  6. Step 6: Final answer
    x = 242,981.11

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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.