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Finding the Fourth Proportional to 183,122.81, 274,763.15 and 98,866.24

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Solution

The fourth proportional to 183,122.81, 274,763.15 and 98,866.24 is: 148,341.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,122.81 : 274,763.15 = 98,866.24 : x
  2. Step 2: Convert to fraction form
    183,122.81/274,763.15 = 98,866.24/x
  3. Step 3: Cross multiply
    183,122.81x = 274,763.15 × 98,866.24
  4. Step 4: Simplify right side
    183,122.81x = 27,164,798,720.57
  5. Step 5: Solve for x
    x = 27,164,798,720.57/183,122.81
  6. Step 6: Final answer
    x = 148,341.97

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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.