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Finding the Fourth Proportional to 165,501.72, 248,184.53 and 65,648.16

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Solution

The fourth proportional to 165,501.72, 248,184.53 and 65,648.16 is: 98,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,501.72 : 248,184.53 = 65,648.16 : x
  2. Step 2: Convert to fraction form
    165,501.72/248,184.53 = 65,648.16/x
  3. Step 3: Cross multiply
    165,501.72x = 248,184.53 × 65,648.16
  4. Step 4: Simplify right side
    165,501.72x = 16,292,857,734.96
  5. Step 5: Solve for x
    x = 16,292,857,734.96/165,501.72
  6. Step 6: Final answer
    x = 98,445.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.