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Finding the Fourth Proportional to 102,644.89, 141,642.23 and 64,402.45

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Solution

The fourth proportional to 102,644.89, 141,642.23 and 64,402.45 is: 88,870.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,644.89 : 141,642.23 = 64,402.45 : x
  2. Step 2: Convert to fraction form
    102,644.89/141,642.23 = 64,402.45/x
  3. Step 3: Cross multiply
    102,644.89x = 141,642.23 × 64,402.45
  4. Step 4: Simplify right side
    102,644.89x = 9,122,105,959.35
  5. Step 5: Solve for x
    x = 9,122,105,959.35/102,644.89
  6. Step 6: Final answer
    x = 88,870.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.