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Finding the Fourth Proportional to 164,752.85, 247,129.28 and 142,500.13

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Solution

The fourth proportional to 164,752.85, 247,129.28 and 142,500.13 is: 213,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,752.85 : 247,129.28 = 142,500.13 : x
  2. Step 2: Convert to fraction form
    164,752.85/247,129.28 = 142,500.13/x
  3. Step 3: Cross multiply
    164,752.85x = 247,129.28 × 142,500.13
  4. Step 4: Simplify right side
    164,752.85x = 35,215,954,526.81
  5. Step 5: Solve for x
    x = 35,215,954,526.81/164,752.85
  6. Step 6: Final answer
    x = 213,750.20

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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.