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Finding the Fourth Proportional to 204,069.76, 306,312 and 144,972.16

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Solution

The fourth proportional to 204,069.76, 306,312 and 144,972.16 is: 217,605.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,069.76 : 306,312 = 144,972.16 : x
  2. Step 2: Convert to fraction form
    204,069.76/306,312 = 144,972.16/x
  3. Step 3: Cross multiply
    204,069.76x = 306,312 × 144,972.16
  4. Step 4: Simplify right side
    204,069.76x = 44,406,712,273.92
  5. Step 5: Solve for x
    x = 44,406,712,273.92/204,069.76
  6. Step 6: Final answer
    x = 217,605.55

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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.