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Finding the Fourth Proportional to 186,687.60, 280,031.40 and 106,643.40

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Solution

The fourth proportional to 186,687.60, 280,031.40 and 106,643.40 is: 159,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,687.60 : 280,031.40 = 106,643.40 : x
  2. Step 2: Convert to fraction form
    186,687.60/280,031.40 = 106,643.40/x
  3. Step 3: Cross multiply
    186,687.60x = 280,031.40 × 106,643.40
  4. Step 4: Simplify right side
    186,687.60x = 29,863,500,602.76
  5. Step 5: Solve for x
    x = 29,863,500,602.76/186,687.60
  6. Step 6: Final answer
    x = 159,965.10

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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.