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Finding the Fourth Proportional to 121,411.60, 182,225.40 and 71,429.20

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Solution

The fourth proportional to 121,411.60, 182,225.40 and 71,429.20 is: 107,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,411.60 : 182,225.40 = 71,429.20 : x
  2. Step 2: Convert to fraction form
    121,411.60/182,225.40 = 71,429.20/x
  3. Step 3: Cross multiply
    121,411.60x = 182,225.40 × 71,429.20
  4. Step 4: Simplify right side
    121,411.60x = 13,016,214,541.68
  5. Step 5: Solve for x
    x = 13,016,214,541.68/121,411.60
  6. Step 6: Final answer
    x = 107,207.34

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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.