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Finding the Fourth Proportional to 109,224.83, 163,860.65 and 61,862.31

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Solution

The fourth proportional to 109,224.83, 163,860.65 and 61,862.31 is: 92,806.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,224.83 : 163,860.65 = 61,862.31 : x
  2. Step 2: Convert to fraction form
    109,224.83/163,860.65 = 61,862.31/x
  3. Step 3: Cross multiply
    109,224.83x = 163,860.65 × 61,862.31
  4. Step 4: Simplify right side
    109,224.83x = 10,136,798,017.79
  5. Step 5: Solve for x
    x = 10,136,798,017.79/109,224.83
  6. Step 6: Final answer
    x = 92,806.72

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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.