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Finding the Fourth Proportional to 202,290.40, 303,095.40 and 160,008.40

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Solution

The fourth proportional to 202,290.40, 303,095.40 and 160,008.40 is: 239,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,290.40 : 303,095.40 = 160,008.40 : x
  2. Step 2: Convert to fraction form
    202,290.40/303,095.40 = 160,008.40/x
  3. Step 3: Cross multiply
    202,290.40x = 303,095.40 × 160,008.40
  4. Step 4: Simplify right side
    202,290.40x = 48,497,810,001.36
  5. Step 5: Solve for x
    x = 48,497,810,001.36/202,290.40
  6. Step 6: Final answer
    x = 239,743.51

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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.