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Finding the Fourth Proportional to 102,461, 141,422.10 and 57,774.92

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Solution

The fourth proportional to 102,461, 141,422.10 and 57,774.92 is: 79,744.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,461 : 141,422.10 = 57,774.92 : x
  2. Step 2: Convert to fraction form
    102,461/141,422.10 = 57,774.92/x
  3. Step 3: Cross multiply
    102,461x = 141,422.10 × 57,774.92
  4. Step 4: Simplify right side
    102,461x = 8,170,650,513.73
  5. Step 5: Solve for x
    x = 8,170,650,513.73/102,461
  6. Step 6: Final answer
    x = 79,744.01

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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.