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Finding the Fourth Proportional to 292,837.77, 439,217.64 and 82,492.11

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Solution

The fourth proportional to 292,837.77, 439,217.64 and 82,492.11 is: 123,727.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,837.77 : 439,217.64 = 82,492.11 : x
  2. Step 2: Convert to fraction form
    292,837.77/439,217.64 = 82,492.11/x
  3. Step 3: Cross multiply
    292,837.77x = 439,217.64 × 82,492.11
  4. Step 4: Simplify right side
    292,837.77x = 36,231,989,872.82
  5. Step 5: Solve for x
    x = 36,231,989,872.82/292,837.77
  6. Step 6: Final answer
    x = 123,727.17

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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.