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Finding the Fourth Proportional to 295,046.88, 442,767.16 and 153,023.10

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Solution

The fourth proportional to 295,046.88, 442,767.16 and 153,023.10 is: 229,636.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,046.88 : 442,767.16 = 153,023.10 : x
  2. Step 2: Convert to fraction form
    295,046.88/442,767.16 = 153,023.10/x
  3. Step 3: Cross multiply
    295,046.88x = 442,767.16 × 153,023.10
  4. Step 4: Simplify right side
    295,046.88x = 67,753,603,401.40
  5. Step 5: Solve for x
    x = 67,753,603,401.40/295,046.88
  6. Step 6: Final answer
    x = 229,636.74

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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.