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Finding the Fourth Proportional to 242,155.12, 334,184.84 and 201,801.36

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Solution

The fourth proportional to 242,155.12, 334,184.84 and 201,801.36 is: 278,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,155.12 : 334,184.84 = 201,801.36 : x
  2. Step 2: Convert to fraction form
    242,155.12/334,184.84 = 201,801.36/x
  3. Step 3: Cross multiply
    242,155.12x = 334,184.84 × 201,801.36
  4. Step 4: Simplify right side
    242,155.12x = 67,438,955,203.38
  5. Step 5: Solve for x
    x = 67,438,955,203.38/242,155.12
  6. Step 6: Final answer
    x = 278,494.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.