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Finding the Fourth Proportional to 113,032.34, 169,578.05 and 65,601.84

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Solution

The fourth proportional to 113,032.34, 169,578.05 and 65,601.84 is: 98,419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,032.34 : 169,578.05 = 65,601.84 : x
  2. Step 2: Convert to fraction form
    113,032.34/169,578.05 = 65,601.84/x
  3. Step 3: Cross multiply
    113,032.34x = 169,578.05 × 65,601.84
  4. Step 4: Simplify right side
    113,032.34x = 11,124,631,775.60
  5. Step 5: Solve for x
    x = 11,124,631,775.60/113,032.34
  6. Step 6: Final answer
    x = 98,419.91

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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.