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Finding the Fourth Proportional to 123,675.96, 185,514.48 and 52,580.28

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Solution

The fourth proportional to 123,675.96, 185,514.48 and 52,580.28 is: 78,870.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,675.96 : 185,514.48 = 52,580.28 : x
  2. Step 2: Convert to fraction form
    123,675.96/185,514.48 = 52,580.28/x
  3. Step 3: Cross multiply
    123,675.96x = 185,514.48 × 52,580.28
  4. Step 4: Simplify right side
    123,675.96x = 9,754,403,302.45
  5. Step 5: Solve for x
    x = 9,754,403,302.45/123,675.96
  6. Step 6: Final answer
    x = 78,870.65

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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.