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Finding the Fourth Proportional to 225,609.85, 338,415.54 and 57,130.10

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Solution

The fourth proportional to 225,609.85, 338,415.54 and 57,130.10 is: 85,695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,609.85 : 338,415.54 = 57,130.10 : x
  2. Step 2: Convert to fraction form
    225,609.85/338,415.54 = 57,130.10/x
  3. Step 3: Cross multiply
    225,609.85x = 338,415.54 × 57,130.10
  4. Step 4: Simplify right side
    225,609.85x = 19,333,713,641.75
  5. Step 5: Solve for x
    x = 19,333,713,641.75/225,609.85
  6. Step 6: Final answer
    x = 85,695.34

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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.