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Finding the Fourth Proportional to 109,050.69, 150,473.64 and 61,294.93

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Solution

The fourth proportional to 109,050.69, 150,473.64 and 61,294.93 is: 84,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,050.69 : 150,473.64 = 61,294.93 : x
  2. Step 2: Convert to fraction form
    109,050.69/150,473.64 = 61,294.93/x
  3. Step 3: Cross multiply
    109,050.69x = 150,473.64 × 61,294.93
  4. Step 4: Simplify right side
    109,050.69x = 9,223,271,230.65
  5. Step 5: Solve for x
    x = 9,223,271,230.65/109,050.69
  6. Step 6: Final answer
    x = 84,577.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.