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Finding the Fourth Proportional to 292,464, 438,693.84 and 82,101.96

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Solution

The fourth proportional to 292,464, 438,693.84 and 82,101.96 is: 123,152.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,464 : 438,693.84 = 82,101.96 : x
  2. Step 2: Convert to fraction form
    292,464/438,693.84 = 82,101.96/x
  3. Step 3: Cross multiply
    292,464x = 438,693.84 × 82,101.96
  4. Step 4: Simplify right side
    292,464x = 36,017,624,103.93
  5. Step 5: Solve for x
    x = 36,017,624,103.93/292,464
  6. Step 6: Final answer
    x = 123,152.33

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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.