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Finding the Fourth Proportional to 195,220.65, 292,683.74 and 106,549.77

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Solution

The fourth proportional to 195,220.65, 292,683.74 and 106,549.77 is: 159,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,220.65 : 292,683.74 = 106,549.77 : x
  2. Step 2: Convert to fraction form
    195,220.65/292,683.74 = 106,549.77/x
  3. Step 3: Cross multiply
    195,220.65x = 292,683.74 × 106,549.77
  4. Step 4: Simplify right side
    195,220.65x = 31,185,384,646.99
  5. Step 5: Solve for x
    x = 31,185,384,646.99/195,220.65
  6. Step 6: Final answer
    x = 159,744.29

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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.