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Finding the Fourth Proportional to 282,799.50, 390,265.84 and 153,738.24

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Solution

The fourth proportional to 282,799.50, 390,265.84 and 153,738.24 is: 212,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,799.50 : 390,265.84 = 153,738.24 : x
  2. Step 2: Convert to fraction form
    282,799.50/390,265.84 = 153,738.24/x
  3. Step 3: Cross multiply
    282,799.50x = 390,265.84 × 153,738.24
  4. Step 4: Simplify right side
    282,799.50x = 59,998,783,373.72
  5. Step 5: Solve for x
    x = 59,998,783,373.72/282,799.50
  6. Step 6: Final answer
    x = 212,160.15

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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.