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Finding the Fourth Proportional to 203,077.08, 280,253.16 and 134,975.52

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Solution

The fourth proportional to 203,077.08, 280,253.16 and 134,975.52 is: 186,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,077.08 : 280,253.16 = 134,975.52 : x
  2. Step 2: Convert to fraction form
    203,077.08/280,253.16 = 134,975.52/x
  3. Step 3: Cross multiply
    203,077.08x = 280,253.16 × 134,975.52
  4. Step 4: Simplify right side
    203,077.08x = 37,827,316,002.64
  5. Step 5: Solve for x
    x = 37,827,316,002.64/203,077.08
  6. Step 6: Final answer
    x = 186,270.73

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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.