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Finding the Fourth Proportional to 171,034.40, 256,551.60 and 77,722.40

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Solution

The fourth proportional to 171,034.40, 256,551.60 and 77,722.40 is: 116,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,034.40 : 256,551.60 = 77,722.40 : x
  2. Step 2: Convert to fraction form
    171,034.40/256,551.60 = 77,722.40/x
  3. Step 3: Cross multiply
    171,034.40x = 256,551.60 × 77,722.40
  4. Step 4: Simplify right side
    171,034.40x = 19,939,806,075.84
  5. Step 5: Solve for x
    x = 19,939,806,075.84/171,034.40
  6. Step 6: Final answer
    x = 116,583.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.