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Finding the Fourth Proportional to 228,048.52, 314,707.44 and 127,446.52

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Solution

The fourth proportional to 228,048.52, 314,707.44 and 127,446.52 is: 175,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,048.52 : 314,707.44 = 127,446.52 : x
  2. Step 2: Convert to fraction form
    228,048.52/314,707.44 = 127,446.52/x
  3. Step 3: Cross multiply
    228,048.52x = 314,707.44 × 127,446.52
  4. Step 4: Simplify right side
    228,048.52x = 40,108,368,046.11
  5. Step 5: Solve for x
    x = 40,108,368,046.11/228,048.52
  6. Step 6: Final answer
    x = 175,876.47

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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.