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Finding the Fourth Proportional to 101,911.70, 152,867.55 and 97,829.30

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Solution

The fourth proportional to 101,911.70, 152,867.55 and 97,829.30 is: 146,743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,911.70 : 152,867.55 = 97,829.30 : x
  2. Step 2: Convert to fraction form
    101,911.70/152,867.55 = 97,829.30/x
  3. Step 3: Cross multiply
    101,911.70x = 152,867.55 × 97,829.30
  4. Step 4: Simplify right side
    101,911.70x = 14,954,925,409.22
  5. Step 5: Solve for x
    x = 14,954,925,409.22/101,911.70
  6. Step 6: Final answer
    x = 146,743.95

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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.