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Finding the Fourth Proportional to 186,866.30, 280,386.94 and 81,671.60

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Solution

The fourth proportional to 186,866.30, 280,386.94 and 81,671.60 is: 122,545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,866.30 : 280,386.94 = 81,671.60 : x
  2. Step 2: Convert to fraction form
    186,866.30/280,386.94 = 81,671.60/x
  3. Step 3: Cross multiply
    186,866.30x = 280,386.94 × 81,671.60
  4. Step 4: Simplify right side
    186,866.30x = 22,899,650,008.90
  5. Step 5: Solve for x
    x = 22,899,650,008.90/186,866.30
  6. Step 6: Final answer
    x = 122,545.64

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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.