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Finding the Fourth Proportional to 97,400.80, 146,101.20 and 53,004.70

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Solution

The fourth proportional to 97,400.80, 146,101.20 and 53,004.70 is: 79,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,400.80 : 146,101.20 = 53,004.70 : x
  2. Step 2: Convert to fraction form
    97,400.80/146,101.20 = 53,004.70/x
  3. Step 3: Cross multiply
    97,400.80x = 146,101.20 × 53,004.70
  4. Step 4: Simplify right side
    97,400.80x = 7,744,050,275.64
  5. Step 5: Solve for x
    x = 7,744,050,275.64/97,400.80
  6. Step 6: Final answer
    x = 79,507.05

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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.