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Finding the Fourth Proportional to 202,535.40, 303,803.10 and 127,411.95

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Solution

The fourth proportional to 202,535.40, 303,803.10 and 127,411.95 is: 191,117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,535.40 : 303,803.10 = 127,411.95 : x
  2. Step 2: Convert to fraction form
    202,535.40/303,803.10 = 127,411.95/x
  3. Step 3: Cross multiply
    202,535.40x = 303,803.10 × 127,411.95
  4. Step 4: Simplify right side
    202,535.40x = 38,708,145,387.05
  5. Step 5: Solve for x
    x = 38,708,145,387.05/202,535.40
  6. Step 6: Final answer
    x = 191,117.93

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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.