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Finding the Fourth Proportional to 186,702.16, 280,014.66 and 53,552.80

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Solution

The fourth proportional to 186,702.16, 280,014.66 and 53,552.80 is: 80,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,702.16 : 280,014.66 = 53,552.80 : x
  2. Step 2: Convert to fraction form
    186,702.16/280,014.66 = 53,552.80/x
  3. Step 3: Cross multiply
    186,702.16x = 280,014.66 × 53,552.80
  4. Step 4: Simplify right side
    186,702.16x = 14,995,569,084.05
  5. Step 5: Solve for x
    x = 14,995,569,084.05/186,702.16
  6. Step 6: Final answer
    x = 80,318.13

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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.