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Finding the Fourth Proportional to 105,353.31, 158,030.12 and 43,023.81

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Solution

The fourth proportional to 105,353.31, 158,030.12 and 43,023.81 is: 64,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,353.31 : 158,030.12 = 43,023.81 : x
  2. Step 2: Convert to fraction form
    105,353.31/158,030.12 = 43,023.81/x
  3. Step 3: Cross multiply
    105,353.31x = 158,030.12 × 43,023.81
  4. Step 4: Simplify right side
    105,353.31x = 6,799,057,857.16
  5. Step 5: Solve for x
    x = 6,799,057,857.16/105,353.31
  6. Step 6: Final answer
    x = 64,535.78

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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.