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Finding the Fourth Proportional to 109,491.40, 164,123.70 and 59,465.80

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Solution

The fourth proportional to 109,491.40, 164,123.70 and 59,465.80 is: 89,137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,491.40 : 164,123.70 = 59,465.80 : x
  2. Step 2: Convert to fraction form
    109,491.40/164,123.70 = 59,465.80/x
  3. Step 3: Cross multiply
    109,491.40x = 164,123.70 × 59,465.80
  4. Step 4: Simplify right side
    109,491.40x = 9,759,747,119.46
  5. Step 5: Solve for x
    x = 9,759,747,119.46/109,491.40
  6. Step 6: Final answer
    x = 89,137.11

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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.