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Finding the Fourth Proportional to 225,582.71, 311,304.21 and 123,607.34

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Solution

The fourth proportional to 225,582.71, 311,304.21 and 123,607.34 is: 170,578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,582.71 : 311,304.21 = 123,607.34 : x
  2. Step 2: Convert to fraction form
    225,582.71/311,304.21 = 123,607.34/x
  3. Step 3: Cross multiply
    225,582.71x = 311,304.21 × 123,607.34
  4. Step 4: Simplify right side
    225,582.71x = 38,479,483,772.38
  5. Step 5: Solve for x
    x = 38,479,483,772.38/225,582.71
  6. Step 6: Final answer
    x = 170,578.16

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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.