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Finding the Fourth Proportional to 225,598.46, 338,431.71 and 97,549.79

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Solution

The fourth proportional to 225,598.46, 338,431.71 and 97,549.79 is: 146,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,598.46 : 338,431.71 = 97,549.79 : x
  2. Step 2: Convert to fraction form
    225,598.46/338,431.71 = 97,549.79/x
  3. Step 3: Cross multiply
    225,598.46x = 338,431.71 × 97,549.79
  4. Step 4: Simplify right side
    225,598.46x = 33,013,942,239.84
  5. Step 5: Solve for x
    x = 33,013,942,239.84/225,598.46
  6. Step 6: Final answer
    x = 146,339.40

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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.