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Finding the Fourth Proportional to 233,343, 350,066.34 and 85,599

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Solution

The fourth proportional to 233,343, 350,066.34 and 85,599 is: 128,417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,343 : 350,066.34 = 85,599 : x
  2. Step 2: Convert to fraction form
    233,343/350,066.34 = 85,599/x
  3. Step 3: Cross multiply
    233,343x = 350,066.34 × 85,599
  4. Step 4: Simplify right side
    233,343x = 29,965,328,637.66
  5. Step 5: Solve for x
    x = 29,965,328,637.66/233,343
  6. Step 6: Final answer
    x = 128,417.52

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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.