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Finding the Fourth Proportional to 174,651.12, 241,004.16 and 103,034.16

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Solution

The fourth proportional to 174,651.12, 241,004.16 and 103,034.16 is: 142,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,651.12 : 241,004.16 = 103,034.16 : x
  2. Step 2: Convert to fraction form
    174,651.12/241,004.16 = 103,034.16/x
  3. Step 3: Cross multiply
    174,651.12x = 241,004.16 × 103,034.16
  4. Step 4: Simplify right side
    174,651.12x = 24,831,661,182.11
  5. Step 5: Solve for x
    x = 24,831,661,182.11/174,651.12
  6. Step 6: Final answer
    x = 142,178.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.