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Finding the Fourth Proportional to 190,689.75, 286,032.42 and 46,596.78

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Solution

The fourth proportional to 190,689.75, 286,032.42 and 46,596.78 is: 69,894.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,689.75 : 286,032.42 = 46,596.78 : x
  2. Step 2: Convert to fraction form
    190,689.75/286,032.42 = 46,596.78/x
  3. Step 3: Cross multiply
    190,689.75x = 286,032.42 × 46,596.78
  4. Step 4: Simplify right side
    190,689.75x = 13,328,189,747.61
  5. Step 5: Solve for x
    x = 13,328,189,747.61/190,689.75
  6. Step 6: Final answer
    x = 69,894.63

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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.