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Finding the Fourth Proportional to 199,687.50, 299,268.72 and 98,541.18

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Solution

The fourth proportional to 199,687.50, 299,268.72 and 98,541.18 is: 147,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,687.50 : 299,268.72 = 98,541.18 : x
  2. Step 2: Convert to fraction form
    199,687.50/299,268.72 = 98,541.18/x
  3. Step 3: Cross multiply
    199,687.50x = 299,268.72 × 98,541.18
  4. Step 4: Simplify right side
    199,687.50x = 29,490,292,805.89
  5. Step 5: Solve for x
    x = 29,490,292,805.89/199,687.50
  6. Step 6: Final answer
    x = 147,682.22

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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.