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Finding the Fourth Proportional to 275,706.64, 413,643.02 and 98,190.55

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Solution

The fourth proportional to 275,706.64, 413,643.02 and 98,190.55 is: 147,315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,706.64 : 413,643.02 = 98,190.55 : x
  2. Step 2: Convert to fraction form
    275,706.64/413,643.02 = 98,190.55/x
  3. Step 3: Cross multiply
    275,706.64x = 413,643.02 × 98,190.55
  4. Step 4: Simplify right side
    275,706.64x = 40,615,835,637.46
  5. Step 5: Solve for x
    x = 40,615,835,637.46/275,706.64
  6. Step 6: Final answer
    x = 147,315.41

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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.