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Finding the Fourth Proportional to 147,225.32, 203,154.78 and 82,681.46

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Solution

The fourth proportional to 147,225.32, 203,154.78 and 82,681.46 is: 114,091.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,225.32 : 203,154.78 = 82,681.46 : x
  2. Step 2: Convert to fraction form
    147,225.32/203,154.78 = 82,681.46/x
  3. Step 3: Cross multiply
    147,225.32x = 203,154.78 × 82,681.46
  4. Step 4: Simplify right side
    147,225.32x = 16,797,133,816.38
  5. Step 5: Solve for x
    x = 16,797,133,816.38/147,225.32
  6. Step 6: Final answer
    x = 114,091.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.