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Finding the Fourth Proportional to 109,422.78, 164,148.50 and 42,854.26

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Solution

The fourth proportional to 109,422.78, 164,148.50 and 42,854.26 is: 64,287.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,422.78 : 164,148.50 = 42,854.26 : x
  2. Step 2: Convert to fraction form
    109,422.78/164,148.50 = 42,854.26/x
  3. Step 3: Cross multiply
    109,422.78x = 164,148.50 × 42,854.26
  4. Step 4: Simplify right side
    109,422.78x = 7,034,462,497.61
  5. Step 5: Solve for x
    x = 7,034,462,497.61/109,422.78
  6. Step 6: Final answer
    x = 64,287.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.