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Finding the Fourth Proportional to 292,143.36, 438,240.54 and 81,781.90

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Solution

The fourth proportional to 292,143.36, 438,240.54 and 81,781.90 is: 122,679.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,143.36 : 438,240.54 = 81,781.90 : x
  2. Step 2: Convert to fraction form
    292,143.36/438,240.54 = 81,781.90/x
  3. Step 3: Cross multiply
    292,143.36x = 438,240.54 × 81,781.90
  4. Step 4: Simplify right side
    292,143.36x = 35,840,144,018.23
  5. Step 5: Solve for x
    x = 35,840,144,018.23/292,143.36
  6. Step 6: Final answer
    x = 122,679.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.