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Finding the Fourth Proportional to 228,058.93, 314,722.02 and 127,456.93

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Solution

The fourth proportional to 228,058.93, 314,722.02 and 127,456.93 is: 175,890.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,058.93 : 314,722.02 = 127,456.93 : x
  2. Step 2: Convert to fraction form
    228,058.93/314,722.02 = 127,456.93/x
  3. Step 3: Cross multiply
    228,058.93x = 314,722.02 × 127,456.93
  4. Step 4: Simplify right side
    228,058.93x = 40,113,502,472.60
  5. Step 5: Solve for x
    x = 40,113,502,472.60/228,058.93
  6. Step 6: Final answer
    x = 175,890.95

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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.