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Finding the Fourth Proportional to 165,300.40, 247,950.60 and 40,641.40

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Solution

The fourth proportional to 165,300.40, 247,950.60 and 40,641.40 is: 60,962.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,300.40 : 247,950.60 = 40,641.40 : x
  2. Step 2: Convert to fraction form
    165,300.40/247,950.60 = 40,641.40/x
  3. Step 3: Cross multiply
    165,300.40x = 247,950.60 × 40,641.40
  4. Step 4: Simplify right side
    165,300.40x = 10,077,059,514.84
  5. Step 5: Solve for x
    x = 10,077,059,514.84/165,300.40
  6. Step 6: Final answer
    x = 60,962.10

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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.