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Finding the Fourth Proportional to 151,762.31, 209,421.25 and 83,768.38

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Solution

The fourth proportional to 151,762.31, 209,421.25 and 83,768.38 is: 115,594.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,762.31 : 209,421.25 = 83,768.38 : x
  2. Step 2: Convert to fraction form
    151,762.31/209,421.25 = 83,768.38/x
  3. Step 3: Cross multiply
    151,762.31x = 209,421.25 × 83,768.38
  4. Step 4: Simplify right side
    151,762.31x = 17,542,878,117.10
  5. Step 5: Solve for x
    x = 17,542,878,117.10/151,762.31
  6. Step 6: Final answer
    x = 115,594.43

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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.