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Finding the Fourth Proportional to 242,681.40, 364,022.10 and 154,107.90

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Solution

The fourth proportional to 242,681.40, 364,022.10 and 154,107.90 is: 231,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,681.40 : 364,022.10 = 154,107.90 : x
  2. Step 2: Convert to fraction form
    242,681.40/364,022.10 = 154,107.90/x
  3. Step 3: Cross multiply
    242,681.40x = 364,022.10 × 154,107.90
  4. Step 4: Simplify right side
    242,681.40x = 56,098,681,384.59
  5. Step 5: Solve for x
    x = 56,098,681,384.59/242,681.40
  6. Step 6: Final answer
    x = 231,161.85

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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.