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Finding the Fourth Proportional to 762,062, 1,143,005.16 and 201,140.24

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Solution

The fourth proportional to 762,062, 1,143,005.16 and 201,140.24 is: 301,687.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,062 : 1,143,005.16 = 201,140.24 : x
  2. Step 2: Convert to fraction form
    762,062/1,143,005.16 = 201,140.24/x
  3. Step 3: Cross multiply
    762,062x = 1,143,005.16 × 201,140.24
  4. Step 4: Simplify right side
    762,062x = 229,904,332,203.64
  5. Step 5: Solve for x
    x = 229,904,332,203.64/762,062
  6. Step 6: Final answer
    x = 301,687.18

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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.