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Finding the Fourth Proportional to 102,422.40, 153,494.40 and 58,028.16

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Solution

The fourth proportional to 102,422.40, 153,494.40 and 58,028.16 is: 86,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,422.40 : 153,494.40 = 58,028.16 : x
  2. Step 2: Convert to fraction form
    102,422.40/153,494.40 = 58,028.16/x
  3. Step 3: Cross multiply
    102,422.40x = 153,494.40 × 58,028.16
  4. Step 4: Simplify right side
    102,422.40x = 8,906,997,602.30
  5. Step 5: Solve for x
    x = 8,906,997,602.30/102,422.40
  6. Step 6: Final answer
    x = 86,963.38

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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.