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Finding the Fourth Proportional to 102,291.66, 141,206.16 and 68,777.10

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Solution

The fourth proportional to 102,291.66, 141,206.16 and 68,777.10 is: 94,941.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,291.66 : 141,206.16 = 68,777.10 : x
  2. Step 2: Convert to fraction form
    102,291.66/141,206.16 = 68,777.10/x
  3. Step 3: Cross multiply
    102,291.66x = 141,206.16 × 68,777.10
  4. Step 4: Simplify right side
    102,291.66x = 9,711,750,186.94
  5. Step 5: Solve for x
    x = 9,711,750,186.94/102,291.66
  6. Step 6: Final answer
    x = 94,941.76

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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.