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Finding the Fourth Proportional to 109,503.40, 164,141.70 and 59,477.80

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Solution

The fourth proportional to 109,503.40, 164,141.70 and 59,477.80 is: 89,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,503.40 : 164,141.70 = 59,477.80 : x
  2. Step 2: Convert to fraction form
    109,503.40/164,141.70 = 59,477.80/x
  3. Step 3: Cross multiply
    109,503.40x = 164,141.70 × 59,477.80
  4. Step 4: Simplify right side
    109,503.40x = 9,762,787,204.26
  5. Step 5: Solve for x
    x = 9,762,787,204.26/109,503.40
  6. Step 6: Final answer
    x = 89,155.11

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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.