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Finding the Fourth Proportional to 150,188.34, 207,039.06 and 114,315.87

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Solution

The fourth proportional to 150,188.34, 207,039.06 and 114,315.87 is: 157,587.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,188.34 : 207,039.06 = 114,315.87 : x
  2. Step 2: Convert to fraction form
    150,188.34/207,039.06 = 114,315.87/x
  3. Step 3: Cross multiply
    150,188.34x = 207,039.06 × 114,315.87
  4. Step 4: Simplify right side
    150,188.34x = 23,667,850,267.88
  5. Step 5: Solve for x
    x = 23,667,850,267.88/150,188.34
  6. Step 6: Final answer
    x = 157,587.80

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