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Finding the Fourth Proportional to 142,405.60, 213,316.80 and 72,324.40

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Solution

The fourth proportional to 142,405.60, 213,316.80 and 72,324.40 is: 108,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,405.60 : 213,316.80 = 72,324.40 : x
  2. Step 2: Convert to fraction form
    142,405.60/213,316.80 = 72,324.40/x
  3. Step 3: Cross multiply
    142,405.60x = 213,316.80 × 72,324.40
  4. Step 4: Simplify right side
    142,405.60x = 15,428,009,569.92
  5. Step 5: Solve for x
    x = 15,428,009,569.92/142,405.60
  6. Step 6: Final answer
    x = 108,338.50

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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.