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Finding the Fourth Proportional to 261,862.40, 361,508.20 and 176,271.40

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Solution

The fourth proportional to 261,862.40, 361,508.20 and 176,271.40 is: 243,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,862.40 : 361,508.20 = 176,271.40 : x
  2. Step 2: Convert to fraction form
    261,862.40/361,508.20 = 176,271.40/x
  3. Step 3: Cross multiply
    261,862.40x = 361,508.20 × 176,271.40
  4. Step 4: Simplify right side
    261,862.40x = 63,723,556,525.48
  5. Step 5: Solve for x
    x = 63,723,556,525.48/261,862.40
  6. Step 6: Final answer
    x = 243,347.49

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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.