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Finding the Fourth Proportional to 100,194, 150,300.96 and 37,030.68

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Solution

The fourth proportional to 100,194, 150,300.96 and 37,030.68 is: 55,549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,194 : 150,300.96 = 37,030.68 : x
  2. Step 2: Convert to fraction form
    100,194/150,300.96 = 37,030.68/x
  3. Step 3: Cross multiply
    100,194x = 150,300.96 × 37,030.68
  4. Step 4: Simplify right side
    100,194x = 5,565,746,753.45
  5. Step 5: Solve for x
    x = 5,565,746,753.45/100,194
  6. Step 6: Final answer
    x = 55,549.70

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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.