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Finding the Fourth Proportional to 323,514.14, 485,271.20 and 98,875.22

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Solution

The fourth proportional to 323,514.14, 485,271.20 and 98,875.22 is: 148,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,514.14 : 485,271.20 = 98,875.22 : x
  2. Step 2: Convert to fraction form
    323,514.14/485,271.20 = 98,875.22/x
  3. Step 3: Cross multiply
    323,514.14x = 485,271.20 × 98,875.22
  4. Step 4: Simplify right side
    323,514.14x = 47,981,294,480.50
  5. Step 5: Solve for x
    x = 47,981,294,480.50/323,514.14
  6. Step 6: Final answer
    x = 148,312.82

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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.