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Finding the Fourth Proportional to 123,486.14, 185,026.71 and 52,351.94

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Solution

The fourth proportional to 123,486.14, 185,026.71 and 52,351.94 is: 78,442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,486.14 : 185,026.71 = 52,351.94 : x
  2. Step 2: Convert to fraction form
    123,486.14/185,026.71 = 52,351.94/x
  3. Step 3: Cross multiply
    123,486.14x = 185,026.71 × 52,351.94
  4. Step 4: Simplify right side
    123,486.14x = 9,686,507,220.32
  5. Step 5: Solve for x
    x = 9,686,507,220.32/123,486.14
  6. Step 6: Final answer
    x = 78,442.06

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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.