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Finding the Fourth Proportional to 225,113.76, 337,427.64 and 146,284.56

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Solution

The fourth proportional to 225,113.76, 337,427.64 and 146,284.56 is: 219,268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,113.76 : 337,427.64 = 146,284.56 : x
  2. Step 2: Convert to fraction form
    225,113.76/337,427.64 = 146,284.56/x
  3. Step 3: Cross multiply
    225,113.76x = 337,427.64 × 146,284.56
  4. Step 4: Simplify right side
    225,113.76x = 49,360,453,849.24
  5. Step 5: Solve for x
    x = 49,360,453,849.24/225,113.76
  6. Step 6: Final answer
    x = 219,268.93

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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.