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Finding the Fourth Proportional to 282,123.66, 423,087.07 and 124,266

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Solution

The fourth proportional to 282,123.66, 423,087.07 and 124,266 is: 186,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,123.66 : 423,087.07 = 124,266 : x
  2. Step 2: Convert to fraction form
    282,123.66/423,087.07 = 124,266/x
  3. Step 3: Cross multiply
    282,123.66x = 423,087.07 × 124,266
  4. Step 4: Simplify right side
    282,123.66x = 52,575,337,840.62
  5. Step 5: Solve for x
    x = 52,575,337,840.62/282,123.66
  6. Step 6: Final answer
    x = 186,355.65

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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.