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Finding the Fourth Proportional to 117,647.64, 176,506.08 and 42,766.61

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Solution

The fourth proportional to 117,647.64, 176,506.08 and 42,766.61 is: 64,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,647.64 : 176,506.08 = 42,766.61 : x
  2. Step 2: Convert to fraction form
    117,647.64/176,506.08 = 42,766.61/x
  3. Step 3: Cross multiply
    117,647.64x = 176,506.08 × 42,766.61
  4. Step 4: Simplify right side
    117,647.64x = 7,548,565,803.46
  5. Step 5: Solve for x
    x = 7,548,565,803.46/117,647.64
  6. Step 6: Final answer
    x = 64,162.49

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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.