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Finding the Fourth Proportional to 165,301.63, 247,968.86 and 65,530.69

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Solution

The fourth proportional to 165,301.63, 247,968.86 and 65,530.69 is: 98,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,301.63 : 247,968.86 = 65,530.69 : x
  2. Step 2: Convert to fraction form
    165,301.63/247,968.86 = 65,530.69/x
  3. Step 3: Cross multiply
    165,301.63x = 247,968.86 × 65,530.69
  4. Step 4: Simplify right side
    165,301.63x = 16,249,569,546.74
  5. Step 5: Solve for x
    x = 16,249,569,546.74/165,301.63
  6. Step 6: Final answer
    x = 98,302.54

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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.