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Finding the Fourth Proportional to 150,682.14, 207,970.02 and 99,695.88

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Solution

The fourth proportional to 150,682.14, 207,970.02 and 99,695.88 is: 137,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,682.14 : 207,970.02 = 99,695.88 : x
  2. Step 2: Convert to fraction form
    150,682.14/207,970.02 = 99,695.88/x
  3. Step 3: Cross multiply
    150,682.14x = 207,970.02 × 99,695.88
  4. Step 4: Simplify right side
    150,682.14x = 20,733,754,157.52
  5. Step 5: Solve for x
    x = 20,733,754,157.52/150,682.14
  6. Step 6: Final answer
    x = 137,599.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.