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Finding the Fourth Proportional to 193,561.60, 289,564.80 and 174,899.20

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Solution

The fourth proportional to 193,561.60, 289,564.80 and 174,899.20 is: 261,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,561.60 : 289,564.80 = 174,899.20 : x
  2. Step 2: Convert to fraction form
    193,561.60/289,564.80 = 174,899.20/x
  3. Step 3: Cross multiply
    193,561.60x = 289,564.80 × 174,899.20
  4. Step 4: Simplify right side
    193,561.60x = 50,644,651,868.16
  5. Step 5: Solve for x
    x = 50,644,651,868.16/193,561.60
  6. Step 6: Final answer
    x = 261,646.17

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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.