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Finding the Fourth Proportional to 295,065.19, 442,701.47 and 126,578.71

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Solution

The fourth proportional to 295,065.19, 442,701.47 and 126,578.71 is: 189,912.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,065.19 : 442,701.47 = 126,578.71 : x
  2. Step 2: Convert to fraction form
    295,065.19/442,701.47 = 126,578.71/x
  3. Step 3: Cross multiply
    295,065.19x = 442,701.47 × 126,578.71
  4. Step 4: Simplify right side
    295,065.19x = 56,036,580,987.70
  5. Step 5: Solve for x
    x = 56,036,580,987.70/295,065.19
  6. Step 6: Final answer
    x = 189,912.54

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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.