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Finding the Fourth Proportional to 142,053.60, 213,024.96 and 53,258.64

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Solution

The fourth proportional to 142,053.60, 213,024.96 and 53,258.64 is: 79,867.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,053.60 : 213,024.96 = 53,258.64 : x
  2. Step 2: Convert to fraction form
    142,053.60/213,024.96 = 53,258.64/x
  3. Step 3: Cross multiply
    142,053.60x = 213,024.96 × 53,258.64
  4. Step 4: Simplify right side
    142,053.60x = 11,345,419,655.65
  5. Step 5: Solve for x
    x = 11,345,419,655.65/142,053.60
  6. Step 6: Final answer
    x = 79,867.17

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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.