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Finding the Fourth Proportional to 292,543.02, 438,831.54 and 82,197.36

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Solution

The fourth proportional to 292,543.02, 438,831.54 and 82,197.36 is: 123,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,543.02 : 438,831.54 = 82,197.36 : x
  2. Step 2: Convert to fraction form
    292,543.02/438,831.54 = 82,197.36/x
  3. Step 3: Cross multiply
    292,543.02x = 438,831.54 × 82,197.36
  4. Step 4: Simplify right side
    292,543.02x = 36,070,794,072.73
  5. Step 5: Solve for x
    x = 36,070,794,072.73/292,543.02
  6. Step 6: Final answer
    x = 123,300.82

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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.