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Finding the Fourth Proportional to 228,260.24, 314,998.92 and 127,658

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Solution

The fourth proportional to 228,260.24, 314,998.92 and 127,658 is: 176,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,260.24 : 314,998.92 = 127,658 : x
  2. Step 2: Convert to fraction form
    228,260.24/314,998.92 = 127,658/x
  3. Step 3: Cross multiply
    228,260.24x = 314,998.92 × 127,658
  4. Step 4: Simplify right side
    228,260.24x = 40,212,132,129.36
  5. Step 5: Solve for x
    x = 40,212,132,129.36/228,260.24
  6. Step 6: Final answer
    x = 176,167.92

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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.