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Finding the Fourth Proportional to 233,921.95, 350,820.65 and 65,431.82

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Solution

The fourth proportional to 233,921.95, 350,820.65 and 65,431.82 is: 98,130.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,921.95 : 350,820.65 = 65,431.82 : x
  2. Step 2: Convert to fraction form
    233,921.95/350,820.65 = 65,431.82/x
  3. Step 3: Cross multiply
    233,921.95x = 350,820.65 × 65,431.82
  4. Step 4: Simplify right side
    233,921.95x = 22,954,834,663.71
  5. Step 5: Solve for x
    x = 22,954,834,663.71/233,921.95
  6. Step 6: Final answer
    x = 98,130.32

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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.