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Finding the Fourth Proportional to 165,813.24, 228,899.10 and 97,807.32

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Solution

The fourth proportional to 165,813.24, 228,899.10 and 97,807.32 is: 135,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,813.24 : 228,899.10 = 97,807.32 : x
  2. Step 2: Convert to fraction form
    165,813.24/228,899.10 = 97,807.32/x
  3. Step 3: Cross multiply
    165,813.24x = 228,899.10 × 97,807.32
  4. Step 4: Simplify right side
    165,813.24x = 22,388,007,521.41
  5. Step 5: Solve for x
    x = 22,388,007,521.41/165,813.24
  6. Step 6: Final answer
    x = 135,019.42

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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.