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Finding the Fourth Proportional to 261,141.40, 392,003.70 and 202,238.20

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Solution

The fourth proportional to 261,141.40, 392,003.70 and 202,238.20 is: 303,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,141.40 : 392,003.70 = 202,238.20 : x
  2. Step 2: Convert to fraction form
    261,141.40/392,003.70 = 202,238.20/x
  3. Step 3: Cross multiply
    261,141.40x = 392,003.70 × 202,238.20
  4. Step 4: Simplify right side
    261,141.40x = 79,278,122,681.34
  5. Step 5: Solve for x
    x = 79,278,122,681.34/261,141.40
  6. Step 6: Final answer
    x = 303,583.13

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1.5x scale

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.