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Finding the Fourth Proportional to 295,271.79, 442,241.81 and 137,167.53

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Solution

The fourth proportional to 295,271.79, 442,241.81 and 137,167.53 is: 205,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,271.79 : 442,241.81 = 137,167.53 : x
  2. Step 2: Convert to fraction form
    295,271.79/442,241.81 = 137,167.53/x
  3. Step 3: Cross multiply
    295,271.79x = 442,241.81 × 137,167.53
  4. Step 4: Simplify right side
    295,271.79x = 60,661,216,054.59
  5. Step 5: Solve for x
    x = 60,661,216,054.59/295,271.79
  6. Step 6: Final answer
    x = 205,441.96

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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.