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Finding the Fourth Proportional to 99,643.78, 149,362.66 and 46,292.23

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Solution

The fourth proportional to 99,643.78, 149,362.66 and 46,292.23 is: 69,390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,643.78 : 149,362.66 = 46,292.23 : x
  2. Step 2: Convert to fraction form
    99,643.78/149,362.66 = 46,292.23/x
  3. Step 3: Cross multiply
    99,643.78x = 149,362.66 × 46,292.23
  4. Step 4: Simplify right side
    99,643.78x = 6,914,329,689.72
  5. Step 5: Solve for x
    x = 6,914,329,689.72/99,643.78
  6. Step 6: Final answer
    x = 69,390.48

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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.