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Finding the Fourth Proportional to 137,527.65, 205,350.57 and 123,203.70

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Solution

The fourth proportional to 137,527.65, 205,350.57 and 123,203.70 is: 183,962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,527.65 : 205,350.57 = 123,203.70 : x
  2. Step 2: Convert to fraction form
    137,527.65/205,350.57 = 123,203.70/x
  3. Step 3: Cross multiply
    137,527.65x = 205,350.57 × 123,203.70
  4. Step 4: Simplify right side
    137,527.65x = 25,299,950,021.11
  5. Step 5: Solve for x
    x = 25,299,950,021.11/137,527.65
  6. Step 6: Final answer
    x = 183,962.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.