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Finding the Fourth Proportional to 199,351.06, 299,084.31 and 59,113.06

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Solution

The fourth proportional to 199,351.06, 299,084.31 and 59,113.06 is: 88,686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,351.06 : 299,084.31 = 59,113.06 : x
  2. Step 2: Convert to fraction form
    199,351.06/299,084.31 = 59,113.06/x
  3. Step 3: Cross multiply
    199,351.06x = 299,084.31 × 59,113.06
  4. Step 4: Simplify right side
    199,351.06x = 17,679,788,762.09
  5. Step 5: Solve for x
    x = 17,679,788,762.09/199,351.06
  6. Step 6: Final answer
    x = 88,686.71

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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.