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Finding the Fourth Proportional to 292,803.78, 404,090.27 and 178,061.14

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Solution

The fourth proportional to 292,803.78, 404,090.27 and 178,061.14 is: 245,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,803.78 : 404,090.27 = 178,061.14 : x
  2. Step 2: Convert to fraction form
    292,803.78/404,090.27 = 178,061.14/x
  3. Step 3: Cross multiply
    292,803.78x = 404,090.27 × 178,061.14
  4. Step 4: Simplify right side
    292,803.78x = 71,952,774,139.11
  5. Step 5: Solve for x
    x = 71,952,774,139.11/292,803.78
  6. Step 6: Final answer
    x = 245,737.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.