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Finding the Fourth Proportional to 162,514.76, 224,270.88 and 90,896

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Solution

The fourth proportional to 162,514.76, 224,270.88 and 90,896 is: 125,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,514.76 : 224,270.88 = 90,896 : x
  2. Step 2: Convert to fraction form
    162,514.76/224,270.88 = 90,896/x
  3. Step 3: Cross multiply
    162,514.76x = 224,270.88 × 90,896
  4. Step 4: Simplify right side
    162,514.76x = 20,385,325,908.48
  5. Step 5: Solve for x
    x = 20,385,325,908.48/162,514.76
  6. Step 6: Final answer
    x = 125,436.77

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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.