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Finding the Fourth Proportional to 225,666.40, 338,402.40 and 113,303.20

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Solution

The fourth proportional to 225,666.40, 338,402.40 and 113,303.20 is: 169,906.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,666.40 : 338,402.40 = 113,303.20 : x
  2. Step 2: Convert to fraction form
    225,666.40/338,402.40 = 113,303.20/x
  3. Step 3: Cross multiply
    225,666.40x = 338,402.40 × 113,303.20
  4. Step 4: Simplify right side
    225,666.40x = 38,342,074,807.68
  5. Step 5: Solve for x
    x = 38,342,074,807.68/225,666.40
  6. Step 6: Final answer
    x = 169,906.00

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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.