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Finding the Fourth Proportional to 117,473.95, 176,095.09 and 75,234.07

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Solution

The fourth proportional to 117,473.95, 176,095.09 and 75,234.07 is: 112,776.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,473.95 : 176,095.09 = 75,234.07 : x
  2. Step 2: Convert to fraction form
    117,473.95/176,095.09 = 75,234.07/x
  3. Step 3: Cross multiply
    117,473.95x = 176,095.09 × 75,234.07
  4. Step 4: Simplify right side
    117,473.95x = 13,248,350,327.72
  5. Step 5: Solve for x
    x = 13,248,350,327.72/117,473.95
  6. Step 6: Final answer
    x = 112,776.92

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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.