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Finding the Fourth Proportional to 202,952.70, 304,515.45 and 128,130.30

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Solution

The fourth proportional to 202,952.70, 304,515.45 and 128,130.30 is: 192,250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,952.70 : 304,515.45 = 128,130.30 : x
  2. Step 2: Convert to fraction form
    202,952.70/304,515.45 = 128,130.30/x
  3. Step 3: Cross multiply
    202,952.70x = 304,515.45 × 128,130.30
  4. Step 4: Simplify right side
    202,952.70x = 39,017,655,963.14
  5. Step 5: Solve for x
    x = 39,017,655,963.14/202,952.70
  6. Step 6: Final answer
    x = 192,250.00

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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.