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Finding the Fourth Proportional to 225,289.13, 338,050.19 and 99,018.03

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Solution

The fourth proportional to 225,289.13, 338,050.19 and 99,018.03 is: 148,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,289.13 : 338,050.19 = 99,018.03 : x
  2. Step 2: Convert to fraction form
    225,289.13/338,050.19 = 99,018.03/x
  3. Step 3: Cross multiply
    225,289.13x = 338,050.19 × 99,018.03
  4. Step 4: Simplify right side
    225,289.13x = 33,473,063,359.84
  5. Step 5: Solve for x
    x = 33,473,063,359.84/225,289.13
  6. Step 6: Final answer
    x = 148,578.25

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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.