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Finding the Fourth Proportional to 165,641.76, 248,386.40 and 53,301.20

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Solution

The fourth proportional to 165,641.76, 248,386.40 and 53,301.20 is: 79,927.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,641.76 : 248,386.40 = 53,301.20 : x
  2. Step 2: Convert to fraction form
    165,641.76/248,386.40 = 53,301.20/x
  3. Step 3: Cross multiply
    165,641.76x = 248,386.40 × 53,301.20
  4. Step 4: Simplify right side
    165,641.76x = 13,239,293,183.68
  5. Step 5: Solve for x
    x = 13,239,293,183.68/165,641.76
  6. Step 6: Final answer
    x = 79,927.27

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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.