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Finding the Fourth Proportional to 127,164, 190,780.02 and 44,058

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Solution

The fourth proportional to 127,164, 190,780.02 and 44,058 is: 66,098.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,164 : 190,780.02 = 44,058 : x
  2. Step 2: Convert to fraction form
    127,164/190,780.02 = 44,058/x
  3. Step 3: Cross multiply
    127,164x = 190,780.02 × 44,058
  4. Step 4: Simplify right side
    127,164x = 8,405,386,121.16
  5. Step 5: Solve for x
    x = 8,405,386,121.16/127,164
  6. Step 6: Final answer
    x = 66,098.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.