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Finding the Fourth Proportional to 242,033.84, 362,781.72 and 182,677.04

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Solution

The fourth proportional to 242,033.84, 362,781.72 and 182,677.04 is: 273,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,033.84 : 362,781.72 = 182,677.04 : x
  2. Step 2: Convert to fraction form
    242,033.84/362,781.72 = 182,677.04/x
  3. Step 3: Cross multiply
    242,033.84x = 362,781.72 × 182,677.04
  4. Step 4: Simplify right side
    242,033.84x = 66,271,890,775.71
  5. Step 5: Solve for x
    x = 66,271,890,775.71/242,033.84
  6. Step 6: Final answer
    x = 273,812.50

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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.