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Finding the Fourth Proportional to 165,441.12, 228,386.16 and 105,859.68

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Solution

The fourth proportional to 165,441.12, 228,386.16 and 105,859.68 is: 146,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,441.12 : 228,386.16 = 105,859.68 : x
  2. Step 2: Convert to fraction form
    165,441.12/228,386.16 = 105,859.68/x
  3. Step 3: Cross multiply
    165,441.12x = 228,386.16 × 105,859.68
  4. Step 4: Simplify right side
    165,441.12x = 24,176,885,814.03
  5. Step 5: Solve for x
    x = 24,176,885,814.03/165,441.12
  6. Step 6: Final answer
    x = 146,135.89

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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.