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Finding the Fourth Proportional to 186,742.20, 280,113.30 and 134,254.20

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Solution

The fourth proportional to 186,742.20, 280,113.30 and 134,254.20 is: 201,381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,742.20 : 280,113.30 = 134,254.20 : x
  2. Step 2: Convert to fraction form
    186,742.20/280,113.30 = 134,254.20/x
  3. Step 3: Cross multiply
    186,742.20x = 280,113.30 × 134,254.20
  4. Step 4: Simplify right side
    186,742.20x = 37,606,387,000.86
  5. Step 5: Solve for x
    x = 37,606,387,000.86/186,742.20
  6. Step 6: Final answer
    x = 201,381.30

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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.