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Finding the Fourth Proportional to 211,832.01, 317,801.79 and 98,061.84

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Solution

The fourth proportional to 211,832.01, 317,801.79 and 98,061.84 is: 147,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,832.01 : 317,801.79 = 98,061.84 : x
  2. Step 2: Convert to fraction form
    211,832.01/317,801.79 = 98,061.84/x
  3. Step 3: Cross multiply
    211,832.01x = 317,801.79 × 98,061.84
  4. Step 4: Simplify right side
    211,832.01x = 31,164,227,274.80
  5. Step 5: Solve for x
    x = 31,164,227,274.80/211,832.01
  6. Step 6: Final answer
    x = 147,117.65

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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.