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Finding the Fourth Proportional to 166,222, 229,402.96 and 99,154

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Solution

The fourth proportional to 166,222, 229,402.96 and 99,154 is: 136,842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,222 : 229,402.96 = 99,154 : x
  2. Step 2: Convert to fraction form
    166,222/229,402.96 = 99,154/x
  3. Step 3: Cross multiply
    166,222x = 229,402.96 × 99,154
  4. Step 4: Simplify right side
    166,222x = 22,746,221,095.84
  5. Step 5: Solve for x
    x = 22,746,221,095.84/166,222
  6. Step 6: Final answer
    x = 136,842.42

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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.