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Finding the Fourth Proportional to 167,106.84, 230,477.10 and 103,479.96

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Solution

The fourth proportional to 167,106.84, 230,477.10 and 103,479.96 is: 142,721.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,106.84 : 230,477.10 = 103,479.96 : x
  2. Step 2: Convert to fraction form
    167,106.84/230,477.10 = 103,479.96/x
  3. Step 3: Cross multiply
    167,106.84x = 230,477.10 × 103,479.96
  4. Step 4: Simplify right side
    167,106.84x = 23,849,761,088.92
  5. Step 5: Solve for x
    x = 23,849,761,088.92/167,106.84
  6. Step 6: Final answer
    x = 142,721.63

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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.