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Finding the Fourth Proportional to 150,302.32, 207,420.32 and 82,322.15

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Solution

The fourth proportional to 150,302.32, 207,420.32 and 82,322.15 is: 113,606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,302.32 : 207,420.32 = 82,322.15 : x
  2. Step 2: Convert to fraction form
    150,302.32/207,420.32 = 82,322.15/x
  3. Step 3: Cross multiply
    150,302.32x = 207,420.32 × 82,322.15
  4. Step 4: Simplify right side
    150,302.32x = 17,075,285,864.79
  5. Step 5: Solve for x
    x = 17,075,285,864.79/150,302.32
  6. Step 6: Final answer
    x = 113,606.27

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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.