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Finding the Fourth Proportional to 125,709.80, 188,564.70 and 97,716.20

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Solution

The fourth proportional to 125,709.80, 188,564.70 and 97,716.20 is: 146,574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,709.80 : 188,564.70 = 97,716.20 : x
  2. Step 2: Convert to fraction form
    125,709.80/188,564.70 = 97,716.20/x
  3. Step 3: Cross multiply
    125,709.80x = 188,564.70 × 97,716.20
  4. Step 4: Simplify right side
    125,709.80x = 18,425,825,938.14
  5. Step 5: Solve for x
    x = 18,425,825,938.14/125,709.80
  6. Step 6: Final answer
    x = 146,574.30

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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.