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Finding the Fourth Proportional to 292,078.84, 438,119.16 and 81,718.60

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Solution

The fourth proportional to 292,078.84, 438,119.16 and 81,718.60 is: 122,578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,078.84 : 438,119.16 = 81,718.60 : x
  2. Step 2: Convert to fraction form
    292,078.84/438,119.16 = 81,718.60/x
  3. Step 3: Cross multiply
    292,078.84x = 438,119.16 × 81,718.60
  4. Step 4: Simplify right side
    292,078.84x = 35,802,484,388.38
  5. Step 5: Solve for x
    x = 35,802,484,388.38/292,078.84
  6. Step 6: Final answer
    x = 122,578.15

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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.