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Finding the Fourth Proportional to 225,666, 311,419.08 and 125,070.48

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Solution

The fourth proportional to 225,666, 311,419.08 and 125,070.48 is: 172,597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,666 : 311,419.08 = 125,070.48 : x
  2. Step 2: Convert to fraction form
    225,666/311,419.08 = 125,070.48/x
  3. Step 3: Cross multiply
    225,666x = 311,419.08 × 125,070.48
  4. Step 4: Simplify right side
    225,666x = 38,949,333,816.76
  5. Step 5: Solve for x
    x = 38,949,333,816.76/225,666
  6. Step 6: Final answer
    x = 172,597.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.