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Finding the Fourth Proportional to 342,024.20, 513,036.30 and 202,056.20

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Solution

The fourth proportional to 342,024.20, 513,036.30 and 202,056.20 is: 303,084.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,024.20 : 513,036.30 = 202,056.20 : x
  2. Step 2: Convert to fraction form
    342,024.20/513,036.30 = 202,056.20/x
  3. Step 3: Cross multiply
    342,024.20x = 513,036.30 × 202,056.20
  4. Step 4: Simplify right side
    342,024.20x = 103,662,165,240.06
  5. Step 5: Solve for x
    x = 103,662,165,240.06/342,024.20
  6. Step 6: Final answer
    x = 303,084.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.