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Finding the Fourth Proportional to 241,778.76, 362,729.66 and 142,023.32

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Solution

The fourth proportional to 241,778.76, 362,729.66 and 142,023.32 is: 213,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,778.76 : 362,729.66 = 142,023.32 : x
  2. Step 2: Convert to fraction form
    241,778.76/362,729.66 = 142,023.32/x
  3. Step 3: Cross multiply
    241,778.76x = 362,729.66 × 142,023.32
  4. Step 4: Simplify right side
    241,778.76x = 51,516,070,575.67
  5. Step 5: Solve for x
    x = 51,516,070,575.67/241,778.76
  6. Step 6: Final answer
    x = 213,071.12

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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.