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Finding the Fourth Proportional to 292,614.07, 438,921.10 and 82,252.01

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Solution

The fourth proportional to 292,614.07, 438,921.10 and 82,252.01 is: 123,378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,614.07 : 438,921.10 = 82,252.01 : x
  2. Step 2: Convert to fraction form
    292,614.07/438,921.10 = 82,252.01/x
  3. Step 3: Cross multiply
    292,614.07x = 438,921.10 × 82,252.01
  4. Step 4: Simplify right side
    292,614.07x = 36,102,140,974.93
  5. Step 5: Solve for x
    x = 36,102,140,974.93/292,614.07
  6. Step 6: Final answer
    x = 123,378.01

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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.