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Finding the Fourth Proportional to 169,002.32, 233,207.01 and 101,005.76

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Solution

The fourth proportional to 169,002.32, 233,207.01 and 101,005.76 is: 139,378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,002.32 : 233,207.01 = 101,005.76 : x
  2. Step 2: Convert to fraction form
    169,002.32/233,207.01 = 101,005.76/x
  3. Step 3: Cross multiply
    169,002.32x = 233,207.01 × 101,005.76
  4. Step 4: Simplify right side
    169,002.32x = 23,555,250,116.34
  5. Step 5: Solve for x
    x = 23,555,250,116.34/169,002.32
  6. Step 6: Final answer
    x = 139,378.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.