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Finding the Fourth Proportional to 109,485, 164,289.02 and 59,568.60

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Solution

The fourth proportional to 109,485, 164,289.02 and 59,568.60 is: 89,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,485 : 164,289.02 = 59,568.60 : x
  2. Step 2: Convert to fraction form
    109,485/164,289.02 = 59,568.60/x
  3. Step 3: Cross multiply
    109,485x = 164,289.02 × 59,568.60
  4. Step 4: Simplify right side
    109,485x = 9,786,466,916.77
  5. Step 5: Solve for x
    x = 9,786,466,916.77/109,485
  6. Step 6: Final answer
    x = 89,386.37

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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.