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Finding the Fourth Proportional to 164,695.97, 247,058.53 and 46,368.33

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Solution

The fourth proportional to 164,695.97, 247,058.53 and 46,368.33 is: 69,556.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,695.97 : 247,058.53 = 46,368.33 : x
  2. Step 2: Convert to fraction form
    164,695.97/247,058.53 = 46,368.33/x
  3. Step 3: Cross multiply
    164,695.97x = 247,058.53 × 46,368.33
  4. Step 4: Simplify right side
    164,695.97x = 11,455,691,448.35
  5. Step 5: Solve for x
    x = 11,455,691,448.35/164,695.97
  6. Step 6: Final answer
    x = 69,556.60

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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.