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Finding the Fourth Proportional to 211,098.80, 316,206.60 and 98,874.80

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Solution

The fourth proportional to 211,098.80, 316,206.60 and 98,874.80 is: 148,105.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,098.80 : 316,206.60 = 98,874.80 : x
  2. Step 2: Convert to fraction form
    211,098.80/316,206.60 = 98,874.80/x
  3. Step 3: Cross multiply
    211,098.80x = 316,206.60 × 98,874.80
  4. Step 4: Simplify right side
    211,098.80x = 31,264,864,333.68
  5. Step 5: Solve for x
    x = 31,264,864,333.68/211,098.80
  6. Step 6: Final answer
    x = 148,105.36

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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.