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Finding the Fourth Proportional to 147,209.40, 220,814.10 and 85,001.40

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Solution

The fourth proportional to 147,209.40, 220,814.10 and 85,001.40 is: 127,502.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,209.40 : 220,814.10 = 85,001.40 : x
  2. Step 2: Convert to fraction form
    147,209.40/220,814.10 = 85,001.40/x
  3. Step 3: Cross multiply
    147,209.40x = 220,814.10 × 85,001.40
  4. Step 4: Simplify right side
    147,209.40x = 18,769,507,639.74
  5. Step 5: Solve for x
    x = 18,769,507,639.74/147,209.40
  6. Step 6: Final answer
    x = 127,502.10

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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.