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Finding the Fourth Proportional to 273,444.60, 409,510.80 and 133,039.20

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Solution

The fourth proportional to 273,444.60, 409,510.80 and 133,039.20 is: 199,239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,444.60 : 409,510.80 = 133,039.20 : x
  2. Step 2: Convert to fraction form
    273,444.60/409,510.80 = 133,039.20/x
  3. Step 3: Cross multiply
    273,444.60x = 409,510.80 × 133,039.20
  4. Step 4: Simplify right side
    273,444.60x = 54,480,989,223.36
  5. Step 5: Solve for x
    x = 54,480,989,223.36/273,444.60
  6. Step 6: Final answer
    x = 199,239.59

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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.