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Finding the Fourth Proportional to 201,309.49, 302,062.65 and 142,522.93

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Solution

The fourth proportional to 201,309.49, 302,062.65 and 142,522.93 is: 213,854.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,309.49 : 302,062.65 = 142,522.93 : x
  2. Step 2: Convert to fraction form
    201,309.49/302,062.65 = 142,522.93/x
  3. Step 3: Cross multiply
    201,309.49x = 302,062.65 × 142,522.93
  4. Step 4: Simplify right side
    201,309.49x = 43,050,853,921.56
  5. Step 5: Solve for x
    x = 43,050,853,921.56/201,309.49
  6. Step 6: Final answer
    x = 213,854.07

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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.