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Finding the Fourth Proportional to 269,031.94, 371,280.94 and 148,173.20

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Solution

The fourth proportional to 269,031.94, 371,280.94 and 148,173.20 is: 204,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,031.94 : 371,280.94 = 148,173.20 : x
  2. Step 2: Convert to fraction form
    269,031.94/371,280.94 = 148,173.20/x
  3. Step 3: Cross multiply
    269,031.94x = 371,280.94 × 148,173.20
  4. Step 4: Simplify right side
    269,031.94x = 55,013,884,978.81
  5. Step 5: Solve for x
    x = 55,013,884,978.81/269,031.94
  6. Step 6: Final answer
    x = 204,488.30

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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.