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Finding the Fourth Proportional to 233,392.13, 322,001.37 and 141,539.48

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Solution

The fourth proportional to 233,392.13, 322,001.37 and 141,539.48 is: 195,276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,392.13 : 322,001.37 = 141,539.48 : x
  2. Step 2: Convert to fraction form
    233,392.13/322,001.37 = 141,539.48/x
  3. Step 3: Cross multiply
    233,392.13x = 322,001.37 × 141,539.48
  4. Step 4: Simplify right side
    233,392.13x = 45,575,904,859.08
  5. Step 5: Solve for x
    x = 45,575,904,859.08/233,392.13
  6. Step 6: Final answer
    x = 195,276.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.