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Finding the Fourth Proportional to 140,543.40, 210,742.20 and 51,751.20

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Solution

The fourth proportional to 140,543.40, 210,742.20 and 51,751.20 is: 77,599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,543.40 : 210,742.20 = 51,751.20 : x
  2. Step 2: Convert to fraction form
    140,543.40/210,742.20 = 51,751.20/x
  3. Step 3: Cross multiply
    140,543.40x = 210,742.20 × 51,751.20
  4. Step 4: Simplify right side
    140,543.40x = 10,906,161,740.64
  5. Step 5: Solve for x
    x = 10,906,161,740.64/140,543.40
  6. Step 6: Final answer
    x = 77,599.96

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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.