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Finding the Fourth Proportional to 242,205.20, 362,962.20 and 178,528.40

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Solution

The fourth proportional to 242,205.20, 362,962.20 and 178,528.40 is: 267,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,205.20 : 362,962.20 = 178,528.40 : x
  2. Step 2: Convert to fraction form
    242,205.20/362,962.20 = 178,528.40/x
  3. Step 3: Cross multiply
    242,205.20x = 362,962.20 × 178,528.40
  4. Step 4: Simplify right side
    242,205.20x = 64,799,060,826.48
  5. Step 5: Solve for x
    x = 64,799,060,826.48/242,205.20
  6. Step 6: Final answer
    x = 267,537.86

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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.