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Finding the Fourth Proportional to 165,322.35, 228,169.74 and 100,829

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Solution

The fourth proportional to 165,322.35, 228,169.74 and 100,829 is: 139,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,322.35 : 228,169.74 = 100,829 : x
  2. Step 2: Convert to fraction form
    165,322.35/228,169.74 = 100,829/x
  3. Step 3: Cross multiply
    165,322.35x = 228,169.74 × 100,829
  4. Step 4: Simplify right side
    165,322.35x = 23,006,126,714.46
  5. Step 5: Solve for x
    x = 23,006,126,714.46/165,322.35
  6. Step 6: Final answer
    x = 139,159.20

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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.