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Finding the Fourth Proportional to 342,142.80, 513,165.60 and 117,513.60

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Solution

The fourth proportional to 342,142.80, 513,165.60 and 117,513.60 is: 176,253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,142.80 : 513,165.60 = 117,513.60 : x
  2. Step 2: Convert to fraction form
    342,142.80/513,165.60 = 117,513.60/x
  3. Step 3: Cross multiply
    342,142.80x = 513,165.60 × 117,513.60
  4. Step 4: Simplify right side
    342,142.80x = 60,303,937,052.16
  5. Step 5: Solve for x
    x = 60,303,937,052.16/342,142.80
  6. Step 6: Final answer
    x = 176,253.71

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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.