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Finding the Fourth Proportional to 117,178.95, 175,768.16 and 28,432.38

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Solution

The fourth proportional to 117,178.95, 175,768.16 and 28,432.38 is: 42,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,178.95 : 175,768.16 = 28,432.38 : x
  2. Step 2: Convert to fraction form
    117,178.95/175,768.16 = 28,432.38/x
  3. Step 3: Cross multiply
    117,178.95x = 175,768.16 × 28,432.38
  4. Step 4: Simplify right side
    117,178.95x = 4,997,506,974.86
  5. Step 5: Solve for x
    x = 4,997,506,974.86/117,178.95
  6. Step 6: Final answer
    x = 42,648.50

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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.