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Finding the Fourth Proportional to 165,216, 228,017.52 and 98,148

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Solution

The fourth proportional to 165,216, 228,017.52 and 98,148 is: 135,455.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,216 : 228,017.52 = 98,148 : x
  2. Step 2: Convert to fraction form
    165,216/228,017.52 = 98,148/x
  3. Step 3: Cross multiply
    165,216x = 228,017.52 × 98,148
  4. Step 4: Simplify right side
    165,216x = 22,379,463,552.96
  5. Step 5: Solve for x
    x = 22,379,463,552.96/165,216
  6. Step 6: Final answer
    x = 135,455.79

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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.