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Finding the Fourth Proportional to 202,409.90, 303,614.85 and 118,429.10

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Solution

The fourth proportional to 202,409.90, 303,614.85 and 118,429.10 is: 177,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,409.90 : 303,614.85 = 118,429.10 : x
  2. Step 2: Convert to fraction form
    202,409.90/303,614.85 = 118,429.10/x
  3. Step 3: Cross multiply
    202,409.90x = 303,614.85 × 118,429.10
  4. Step 4: Simplify right side
    202,409.90x = 35,956,833,432.14
  5. Step 5: Solve for x
    x = 35,956,833,432.14/202,409.90
  6. Step 6: Final answer
    x = 177,643.65

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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.