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Finding the Fourth Proportional to 124,272.60, 186,020.10 and 97,834.20

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Solution

The fourth proportional to 124,272.60, 186,020.10 and 97,834.20 is: 146,445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,272.60 : 186,020.10 = 97,834.20 : x
  2. Step 2: Convert to fraction form
    124,272.60/186,020.10 = 97,834.20/x
  3. Step 3: Cross multiply
    124,272.60x = 186,020.10 × 97,834.20
  4. Step 4: Simplify right side
    124,272.60x = 18,199,127,667.42
  5. Step 5: Solve for x
    x = 18,199,127,667.42/124,272.60
  6. Step 6: Final answer
    x = 146,445.22

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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.