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Finding the Fourth Proportional to 173,854.16, 260,768.28 and 55,538

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Solution

The fourth proportional to 173,854.16, 260,768.28 and 55,538 is: 83,302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,854.16 : 260,768.28 = 55,538 : x
  2. Step 2: Convert to fraction form
    173,854.16/260,768.28 = 55,538/x
  3. Step 3: Cross multiply
    173,854.16x = 260,768.28 × 55,538
  4. Step 4: Simplify right side
    173,854.16x = 14,482,548,734.64
  5. Step 5: Solve for x
    x = 14,482,548,734.64/173,854.16
  6. Step 6: Final answer
    x = 83,302.86

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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.