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Finding the Fourth Proportional to 294,837.60, 442,256.40 and 81,605.10

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Solution

The fourth proportional to 294,837.60, 442,256.40 and 81,605.10 is: 122,407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,837.60 : 442,256.40 = 81,605.10 : x
  2. Step 2: Convert to fraction form
    294,837.60/442,256.40 = 81,605.10/x
  3. Step 3: Cross multiply
    294,837.60x = 442,256.40 × 81,605.10
  4. Step 4: Simplify right side
    294,837.60x = 36,090,377,747.64
  5. Step 5: Solve for x
    x = 36,090,377,747.64/294,837.60
  6. Step 6: Final answer
    x = 122,407.65

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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.