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Finding the Fourth Proportional to 202,950.60, 305,009.10 and 177,289.80

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Solution

The fourth proportional to 202,950.60, 305,009.10 and 177,289.80 is: 266,444.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,950.60 : 305,009.10 = 177,289.80 : x
  2. Step 2: Convert to fraction form
    202,950.60/305,009.10 = 177,289.80/x
  3. Step 3: Cross multiply
    202,950.60x = 305,009.10 × 177,289.80
  4. Step 4: Simplify right side
    202,950.60x = 54,075,002,337.18
  5. Step 5: Solve for x
    x = 54,075,002,337.18/202,950.60
  6. Step 6: Final answer
    x = 266,444.16

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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.