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Finding the Fourth Proportional to 107,782.31, 148,743.29 and 62,460.38

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Solution

The fourth proportional to 107,782.31, 148,743.29 and 62,460.38 is: 86,197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,782.31 : 148,743.29 = 62,460.38 : x
  2. Step 2: Convert to fraction form
    107,782.31/148,743.29 = 62,460.38/x
  3. Step 3: Cross multiply
    107,782.31x = 148,743.29 × 62,460.38
  4. Step 4: Simplify right side
    107,782.31x = 9,290,562,415.85
  5. Step 5: Solve for x
    x = 9,290,562,415.85/107,782.31
  6. Step 6: Final answer
    x = 86,197.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.