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Finding the Fourth Proportional to 142,020.84, 195,943 and 94,283.40

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Solution

The fourth proportional to 142,020.84, 195,943 and 94,283.40 is: 130,080.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,020.84 : 195,943 = 94,283.40 : x
  2. Step 2: Convert to fraction form
    142,020.84/195,943 = 94,283.40/x
  3. Step 3: Cross multiply
    142,020.84x = 195,943 × 94,283.40
  4. Step 4: Simplify right side
    142,020.84x = 18,474,172,246.20
  5. Step 5: Solve for x
    x = 18,474,172,246.20/142,020.84
  6. Step 6: Final answer
    x = 130,080.71

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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.