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Finding the Fourth Proportional to 111,339.21, 167,045.47 and 74,046

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Solution

The fourth proportional to 111,339.21, 167,045.47 and 74,046 is: 111,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,339.21 : 167,045.47 = 74,046 : x
  2. Step 2: Convert to fraction form
    111,339.21/167,045.47 = 74,046/x
  3. Step 3: Cross multiply
    111,339.21x = 167,045.47 × 74,046
  4. Step 4: Simplify right side
    111,339.21x = 12,369,048,871.62
  5. Step 5: Solve for x
    x = 12,369,048,871.62/111,339.21
  6. Step 6: Final answer
    x = 111,093.38

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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.