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Finding the Fourth Proportional to 186,877.80, 280,316.70 and 185,711.40

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Solution

The fourth proportional to 186,877.80, 280,316.70 and 185,711.40 is: 278,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,877.80 : 280,316.70 = 185,711.40 : x
  2. Step 2: Convert to fraction form
    186,877.80/280,316.70 = 185,711.40/x
  3. Step 3: Cross multiply
    186,877.80x = 280,316.70 × 185,711.40
  4. Step 4: Simplify right side
    186,877.80x = 52,058,006,800.38
  5. Step 5: Solve for x
    x = 52,058,006,800.38/186,877.80
  6. Step 6: Final answer
    x = 278,567.10

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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.