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Finding the Fourth Proportional to 165,393.94, 248,058.12 and 47,066.32

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Solution

The fourth proportional to 165,393.94, 248,058.12 and 47,066.32 is: 70,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,393.94 : 248,058.12 = 47,066.32 : x
  2. Step 2: Convert to fraction form
    165,393.94/248,058.12 = 47,066.32/x
  3. Step 3: Cross multiply
    165,393.94x = 248,058.12 × 47,066.32
  4. Step 4: Simplify right side
    165,393.94x = 11,675,182,854.52
  5. Step 5: Solve for x
    x = 11,675,182,854.52/165,393.94
  6. Step 6: Final answer
    x = 70,590.15

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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.