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Finding the Fourth Proportional to 228,045.25, 314,721.89 and 127,462.69

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Solution

The fourth proportional to 228,045.25, 314,721.89 and 127,462.69 is: 175,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,045.25 : 314,721.89 = 127,462.69 : x
  2. Step 2: Convert to fraction form
    228,045.25/314,721.89 = 127,462.69/x
  3. Step 3: Cross multiply
    228,045.25x = 314,721.89 × 127,462.69
  4. Step 4: Simplify right side
    228,045.25x = 40,115,298,701.28
  5. Step 5: Solve for x
    x = 40,115,298,701.28/228,045.25
  6. Step 6: Final answer
    x = 175,909.38

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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.