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Finding the Fourth Proportional to 140,700.64, 194,159.38 and 77,026.16

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Solution

The fourth proportional to 140,700.64, 194,159.38 and 77,026.16 is: 106,291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,700.64 : 194,159.38 = 77,026.16 : x
  2. Step 2: Convert to fraction form
    140,700.64/194,159.38 = 77,026.16/x
  3. Step 3: Cross multiply
    140,700.64x = 194,159.38 × 77,026.16
  4. Step 4: Simplify right side
    140,700.64x = 14,955,351,469.38
  5. Step 5: Solve for x
    x = 14,955,351,469.38/140,700.64
  6. Step 6: Final answer
    x = 106,291.99

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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.