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Finding the Fourth Proportional to 233,635.19, 350,447.74 and 65,151.03

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Solution

The fourth proportional to 233,635.19, 350,447.74 and 65,151.03 is: 97,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,635.19 : 350,447.74 = 65,151.03 : x
  2. Step 2: Convert to fraction form
    233,635.19/350,447.74 = 65,151.03/x
  3. Step 3: Cross multiply
    233,635.19x = 350,447.74 × 65,151.03
  4. Step 4: Simplify right side
    233,635.19x = 22,832,031,222.17
  5. Step 5: Solve for x
    x = 22,832,031,222.17/233,635.19
  6. Step 6: Final answer
    x = 97,725.14

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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.