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Finding the Fourth Proportional to 150,302.17, 207,420.71 and 82,322.01

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Solution

The fourth proportional to 150,302.17, 207,420.71 and 82,322.01 is: 113,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,302.17 : 207,420.71 = 82,322.01 : x
  2. Step 2: Convert to fraction form
    150,302.17/207,420.71 = 82,322.01/x
  3. Step 3: Cross multiply
    150,302.17x = 207,420.71 × 82,322.01
  4. Step 4: Simplify right side
    150,302.17x = 17,075,289,762.83
  5. Step 5: Solve for x
    x = 17,075,289,762.83/150,302.17
  6. Step 6: Final answer
    x = 113,606.41

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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.