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Finding the Fourth Proportional to 123,927.84, 185,775.12 and 61,538.40

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Solution

The fourth proportional to 123,927.84, 185,775.12 and 61,538.40 is: 92,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,927.84 : 185,775.12 = 61,538.40 : x
  2. Step 2: Convert to fraction form
    123,927.84/185,775.12 = 61,538.40/x
  3. Step 3: Cross multiply
    123,927.84x = 185,775.12 × 61,538.40
  4. Step 4: Simplify right side
    123,927.84x = 11,432,303,644.61
  5. Step 5: Solve for x
    x = 11,432,303,644.61/123,927.84
  6. Step 6: Final answer
    x = 92,249.68

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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.