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Finding the Fourth Proportional to 211,096.80, 316,203.60 and 98,872.80

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Solution

The fourth proportional to 211,096.80, 316,203.60 and 98,872.80 is: 148,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,096.80 : 316,203.60 = 98,872.80 : x
  2. Step 2: Convert to fraction form
    211,096.80/316,203.60 = 98,872.80/x
  3. Step 3: Cross multiply
    211,096.80x = 316,203.60 × 98,872.80
  4. Step 4: Simplify right side
    211,096.80x = 31,263,935,302.08
  5. Step 5: Solve for x
    x = 31,263,935,302.08/211,096.80
  6. Step 6: Final answer
    x = 148,102.36

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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.