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Finding the Fourth Proportional to 269,461.96, 371,852.60 and 148,614.48

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Solution

The fourth proportional to 269,461.96, 371,852.60 and 148,614.48 is: 205,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,461.96 : 371,852.60 = 148,614.48 : x
  2. Step 2: Convert to fraction form
    269,461.96/371,852.60 = 148,614.48/x
  3. Step 3: Cross multiply
    269,461.96x = 371,852.60 × 148,614.48
  4. Step 4: Simplify right side
    269,461.96x = 55,262,680,785.65
  5. Step 5: Solve for x
    x = 55,262,680,785.65/269,461.96
  6. Step 6: Final answer
    x = 205,085.28

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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.