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Finding the Fourth Proportional to 353,353.81, 530,205.86 and 140,117.16

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Solution

The fourth proportional to 353,353.81, 530,205.86 and 140,117.16 is: 210,245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,353.81 : 530,205.86 = 140,117.16 : x
  2. Step 2: Convert to fraction form
    353,353.81/530,205.86 = 140,117.16/x
  3. Step 3: Cross multiply
    353,353.81x = 530,205.86 × 140,117.16
  4. Step 4: Simplify right side
    353,353.81x = 74,290,939,318.56
  5. Step 5: Solve for x
    x = 74,290,939,318.56/353,353.81
  6. Step 6: Final answer
    x = 210,245.19

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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.