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Finding the Fourth Proportional to 292,392.80, 438,602.16 and 82,026.08

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Solution

The fourth proportional to 292,392.80, 438,602.16 and 82,026.08 is: 123,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,392.80 : 438,602.16 = 82,026.08 : x
  2. Step 2: Convert to fraction form
    292,392.80/438,602.16 = 82,026.08/x
  3. Step 3: Cross multiply
    292,392.80x = 438,602.16 × 82,026.08
  4. Step 4: Simplify right side
    292,392.80x = 35,976,815,864.33
  5. Step 5: Solve for x
    x = 35,976,815,864.33/292,392.80
  6. Step 6: Final answer
    x = 123,042.76

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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.