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Finding the Fourth Proportional to 140,804.71, 211,162.85 and 46,013.28

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Solution

The fourth proportional to 140,804.71, 211,162.85 and 46,013.28 is: 69,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,804.71 : 211,162.85 = 46,013.28 : x
  2. Step 2: Convert to fraction form
    140,804.71/211,162.85 = 46,013.28/x
  3. Step 3: Cross multiply
    140,804.71x = 211,162.85 × 46,013.28
  4. Step 4: Simplify right side
    140,804.71x = 9,716,294,493.27
  5. Step 5: Solve for x
    x = 9,716,294,493.27/140,804.71
  6. Step 6: Final answer
    x = 69,005.47

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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.