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Finding the Fourth Proportional to 142,251.84, 213,435.14 and 63,312.08

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Solution

The fourth proportional to 142,251.84, 213,435.14 and 63,312.08 is: 94,993.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,251.84 : 213,435.14 = 63,312.08 : x
  2. Step 2: Convert to fraction form
    142,251.84/213,435.14 = 63,312.08/x
  3. Step 3: Cross multiply
    142,251.84x = 213,435.14 × 63,312.08
  4. Step 4: Simplify right side
    142,251.84x = 13,513,021,274.76
  5. Step 5: Solve for x
    x = 13,513,021,274.76/142,251.84
  6. Step 6: Final answer
    x = 94,993.65

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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.