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Finding the Fourth Proportional to 165,877.24, 248,808.30 and 53,562.64

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Solution

The fourth proportional to 165,877.24, 248,808.30 and 53,562.64 is: 80,341.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,877.24 : 248,808.30 = 53,562.64 : x
  2. Step 2: Convert to fraction form
    165,877.24/248,808.30 = 53,562.64/x
  3. Step 3: Cross multiply
    165,877.24x = 248,808.30 × 53,562.64
  4. Step 4: Simplify right side
    165,877.24x = 13,326,829,401.91
  5. Step 5: Solve for x
    x = 13,326,829,401.91/165,877.24
  6. Step 6: Final answer
    x = 80,341.52

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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.