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Finding the Fourth Proportional to 150,148, 225,222 and 56,631.88

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Solution

The fourth proportional to 150,148, 225,222 and 56,631.88 is: 84,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,148 : 225,222 = 56,631.88 : x
  2. Step 2: Convert to fraction form
    150,148/225,222 = 56,631.88/x
  3. Step 3: Cross multiply
    150,148x = 225,222 × 56,631.88
  4. Step 4: Simplify right side
    150,148x = 12,754,745,277.36
  5. Step 5: Solve for x
    x = 12,754,745,277.36/150,148
  6. Step 6: Final answer
    x = 84,947.82

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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.