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Finding the Fourth Proportional to 202,293.90, 303,100.65 and 160,011.90

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Solution

The fourth proportional to 202,293.90, 303,100.65 and 160,011.90 is: 239,748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,293.90 : 303,100.65 = 160,011.90 : x
  2. Step 2: Convert to fraction form
    202,293.90/303,100.65 = 160,011.90/x
  3. Step 3: Cross multiply
    202,293.90x = 303,100.65 × 160,011.90
  4. Step 4: Simplify right side
    202,293.90x = 48,499,710,897.74
  5. Step 5: Solve for x
    x = 48,499,710,897.74/202,293.90
  6. Step 6: Final answer
    x = 239,748.76

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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.