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Finding the Fourth Proportional to 144,798.20, 199,600 and 101,656.66

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Solution

The fourth proportional to 144,798.20, 199,600 and 101,656.66 is: 140,130.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,798.20 : 199,600 = 101,656.66 : x
  2. Step 2: Convert to fraction form
    144,798.20/199,600 = 101,656.66/x
  3. Step 3: Cross multiply
    144,798.20x = 199,600 × 101,656.66
  4. Step 4: Simplify right side
    144,798.20x = 20,290,669,336
  5. Step 5: Solve for x
    x = 20,290,669,336/144,798.20
  6. Step 6: Final answer
    x = 140,130.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.