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Finding the Fourth Proportional to 166,547.35, 229,910.40 and 106,199.11

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Solution

The fourth proportional to 166,547.35, 229,910.40 and 106,199.11 is: 146,602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,547.35 : 229,910.40 = 106,199.11 : x
  2. Step 2: Convert to fraction form
    166,547.35/229,910.40 = 106,199.11/x
  3. Step 3: Cross multiply
    166,547.35x = 229,910.40 × 106,199.11
  4. Step 4: Simplify right side
    166,547.35x = 24,416,279,859.74
  5. Step 5: Solve for x
    x = 24,416,279,859.74/166,547.35
  6. Step 6: Final answer
    x = 146,602.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.