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Finding the Fourth Proportional to 150,002.94, 207,022.32 and 86,339.40

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Solution

The fourth proportional to 150,002.94, 207,022.32 and 86,339.40 is: 119,158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,002.94 : 207,022.32 = 86,339.40 : x
  2. Step 2: Convert to fraction form
    150,002.94/207,022.32 = 86,339.40/x
  3. Step 3: Cross multiply
    150,002.94x = 207,022.32 × 86,339.40
  4. Step 4: Simplify right side
    150,002.94x = 17,874,182,895.41
  5. Step 5: Solve for x
    x = 17,874,182,895.41/150,002.94
  6. Step 6: Final answer
    x = 119,158.88

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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.