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Finding the Fourth Proportional to 102,309.40, 141,164.69 and 62,033.06

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Solution

The fourth proportional to 102,309.40, 141,164.69 and 62,033.06 is: 85,592.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,309.40 : 141,164.69 = 62,033.06 : x
  2. Step 2: Convert to fraction form
    102,309.40/141,164.69 = 62,033.06/x
  3. Step 3: Cross multiply
    102,309.40x = 141,164.69 × 62,033.06
  4. Step 4: Simplify right side
    102,309.40x = 8,756,877,133.91
  5. Step 5: Solve for x
    x = 8,756,877,133.91/102,309.40
  6. Step 6: Final answer
    x = 85,592.11

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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.