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Finding the Fourth Proportional to 102,645.95, 153,973.24 and 50,099.63

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Solution

The fourth proportional to 102,645.95, 153,973.24 and 50,099.63 is: 75,151.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,645.95 : 153,973.24 = 50,099.63 : x
  2. Step 2: Convert to fraction form
    102,645.95/153,973.24 = 50,099.63/x
  3. Step 3: Cross multiply
    102,645.95x = 153,973.24 × 50,099.63
  4. Step 4: Simplify right side
    102,645.95x = 7,714,001,458.79
  5. Step 5: Solve for x
    x = 7,714,001,458.79/102,645.95
  6. Step 6: Final answer
    x = 75,151.55

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1.5x scale

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.