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Finding the Fourth Proportional to 111,322.66, 167,038.80 and 52,148.11

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Solution

The fourth proportional to 111,322.66, 167,038.80 and 52,148.11 is: 78,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,322.66 : 167,038.80 = 52,148.11 : x
  2. Step 2: Convert to fraction form
    111,322.66/167,038.80 = 52,148.11/x
  3. Step 3: Cross multiply
    111,322.66x = 167,038.80 × 52,148.11
  4. Step 4: Simplify right side
    111,322.66x = 8,710,757,716.67
  5. Step 5: Solve for x
    x = 8,710,757,716.67/111,322.66
  6. Step 6: Final answer
    x = 78,247.84

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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.