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Finding the Fourth Proportional to 178,084.68, 266,702.98 and 103,046.70

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Solution

The fourth proportional to 178,084.68, 266,702.98 and 103,046.70 is: 154,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,084.68 : 266,702.98 = 103,046.70 : x
  2. Step 2: Convert to fraction form
    178,084.68/266,702.98 = 103,046.70/x
  3. Step 3: Cross multiply
    178,084.68x = 266,702.98 × 103,046.70
  4. Step 4: Simplify right side
    178,084.68x = 27,482,861,969.17
  5. Step 5: Solve for x
    x = 27,482,861,969.17/178,084.68
  6. Step 6: Final answer
    x = 154,324.68

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Why These Related Problems?

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