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Finding the Fourth Proportional to 215,866.64, 323,603.93 and 75,548.72

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Solution

The fourth proportional to 215,866.64, 323,603.93 and 75,548.72 is: 113,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,866.64 : 323,603.93 = 75,548.72 : x
  2. Step 2: Convert to fraction form
    215,866.64/323,603.93 = 75,548.72/x
  3. Step 3: Cross multiply
    215,866.64x = 323,603.93 × 75,548.72
  4. Step 4: Simplify right side
    215,866.64x = 24,447,861,269.32
  5. Step 5: Solve for x
    x = 24,447,861,269.32/215,866.64
  6. Step 6: Final answer
    x = 113,254.47

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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.