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Finding the Fourth Proportional to 101,142.30, 151,567.65 and 44,936.40

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Solution

The fourth proportional to 101,142.30, 151,567.65 and 44,936.40 is: 67,339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,142.30 : 151,567.65 = 44,936.40 : x
  2. Step 2: Convert to fraction form
    101,142.30/151,567.65 = 44,936.40/x
  3. Step 3: Cross multiply
    101,142.30x = 151,567.65 × 44,936.40
  4. Step 4: Simplify right side
    101,142.30x = 6,810,904,547.46
  5. Step 5: Solve for x
    x = 6,810,904,547.46/101,142.30
  6. Step 6: Final answer
    x = 67,339.82

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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.