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Finding the Fourth Proportional to 150,647.64, 225,696.06 and 70,538.64

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Solution

The fourth proportional to 150,647.64, 225,696.06 and 70,538.64 is: 105,679.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,647.64 : 225,696.06 = 70,538.64 : x
  2. Step 2: Convert to fraction form
    150,647.64/225,696.06 = 70,538.64/x
  3. Step 3: Cross multiply
    150,647.64x = 225,696.06 × 70,538.64
  4. Step 4: Simplify right side
    150,647.64x = 15,920,293,125.76
  5. Step 5: Solve for x
    x = 15,920,293,125.76/150,647.64
  6. Step 6: Final answer
    x = 105,679.01

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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.