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Finding the Fourth Proportional to 225,596.46, 338,428.71 and 97,547.79

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Solution

The fourth proportional to 225,596.46, 338,428.71 and 97,547.79 is: 146,336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,596.46 : 338,428.71 = 97,547.79 : x
  2. Step 2: Convert to fraction form
    225,596.46/338,428.71 = 97,547.79/x
  3. Step 3: Cross multiply
    225,596.46x = 338,428.71 × 97,547.79
  4. Step 4: Simplify right side
    225,596.46x = 33,012,972,733.05
  5. Step 5: Solve for x
    x = 33,012,972,733.05/225,596.46
  6. Step 6: Final answer
    x = 146,336.40

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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.