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Finding the Fourth Proportional to 142,710.10, 214,097.55 and 83,515.30

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Solution

The fourth proportional to 142,710.10, 214,097.55 and 83,515.30 is: 125,291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,710.10 : 214,097.55 = 83,515.30 : x
  2. Step 2: Convert to fraction form
    142,710.10/214,097.55 = 83,515.30/x
  3. Step 3: Cross multiply
    142,710.10x = 214,097.55 × 83,515.30
  4. Step 4: Simplify right side
    142,710.10x = 17,880,421,117.52
  5. Step 5: Solve for x
    x = 17,880,421,117.52/142,710.10
  6. Step 6: Final answer
    x = 125,291.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.