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Finding the Fourth Proportional to 142,081.64, 212,952.75 and 66,077.62

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Solution

The fourth proportional to 142,081.64, 212,952.75 and 66,077.62 is: 99,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,081.64 : 212,952.75 = 66,077.62 : x
  2. Step 2: Convert to fraction form
    142,081.64/212,952.75 = 66,077.62/x
  3. Step 3: Cross multiply
    142,081.64x = 212,952.75 × 66,077.62
  4. Step 4: Simplify right side
    142,081.64x = 14,071,411,310.14
  5. Step 5: Solve for x
    x = 14,071,411,310.14/142,081.64
  6. Step 6: Final answer
    x = 99,037.50

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Why These Related Problems?

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