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Finding the Fourth Proportional to 102,434.56, 141,368.16 and 57,106.42

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Solution

The fourth proportional to 102,434.56, 141,368.16 and 57,106.42 is: 78,811.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,434.56 : 141,368.16 = 57,106.42 : x
  2. Step 2: Convert to fraction form
    102,434.56/141,368.16 = 57,106.42/x
  3. Step 3: Cross multiply
    102,434.56x = 141,368.16 × 57,106.42
  4. Step 4: Simplify right side
    102,434.56x = 8,073,029,519.59
  5. Step 5: Solve for x
    x = 8,073,029,519.59/102,434.56
  6. Step 6: Final answer
    x = 78,811.58

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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.