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Finding the Fourth Proportional to 213,882.18, 320,687.16 and 101,493.06

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Solution

The fourth proportional to 213,882.18, 320,687.16 and 101,493.06 is: 152,175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,882.18 : 320,687.16 = 101,493.06 : x
  2. Step 2: Convert to fraction form
    213,882.18/320,687.16 = 101,493.06/x
  3. Step 3: Cross multiply
    213,882.18x = 320,687.16 × 101,493.06
  4. Step 4: Simplify right side
    213,882.18x = 32,547,521,171.11
  5. Step 5: Solve for x
    x = 32,547,521,171.11/213,882.18
  6. Step 6: Final answer
    x = 152,175.00

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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.