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Finding the Fourth Proportional to 165,458.40, 248,066.10 and 65,569.20

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Solution

The fourth proportional to 165,458.40, 248,066.10 and 65,569.20 is: 98,305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,458.40 : 248,066.10 = 65,569.20 : x
  2. Step 2: Convert to fraction form
    165,458.40/248,066.10 = 65,569.20/x
  3. Step 3: Cross multiply
    165,458.40x = 248,066.10 × 65,569.20
  4. Step 4: Simplify right side
    165,458.40x = 16,265,495,724.12
  5. Step 5: Solve for x
    x = 16,265,495,724.12/165,458.40
  6. Step 6: Final answer
    x = 98,305.65

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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.