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Finding the Fourth Proportional to 199,641.40, 299,462.10 and 185,207.20

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Solution

The fourth proportional to 199,641.40, 299,462.10 and 185,207.20 is: 277,810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,641.40 : 299,462.10 = 185,207.20 : x
  2. Step 2: Convert to fraction form
    199,641.40/299,462.10 = 185,207.20/x
  3. Step 3: Cross multiply
    199,641.40x = 299,462.10 × 185,207.20
  4. Step 4: Simplify right side
    199,641.40x = 55,462,537,047.12
  5. Step 5: Solve for x
    x = 55,462,537,047.12/199,641.40
  6. Step 6: Final answer
    x = 277,810.80

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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.