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Finding the Fourth Proportional to 353,352.81, 530,204.36 and 140,116.16

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Solution

The fourth proportional to 353,352.81, 530,204.36 and 140,116.16 is: 210,243.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,352.81 : 530,204.36 = 140,116.16 : x
  2. Step 2: Convert to fraction form
    353,352.81/530,204.36 = 140,116.16/x
  3. Step 3: Cross multiply
    353,352.81x = 530,204.36 × 140,116.16
  4. Step 4: Simplify right side
    353,352.81x = 74,290,198,938.46
  5. Step 5: Solve for x
    x = 74,290,198,938.46/353,352.81
  6. Step 6: Final answer
    x = 210,243.69

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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.