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Finding the Fourth Proportional to 102,602.60, 153,903.90 and 100,298.60

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Solution

The fourth proportional to 102,602.60, 153,903.90 and 100,298.60 is: 150,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,602.60 : 153,903.90 = 100,298.60 : x
  2. Step 2: Convert to fraction form
    102,602.60/153,903.90 = 100,298.60/x
  3. Step 3: Cross multiply
    102,602.60x = 153,903.90 × 100,298.60
  4. Step 4: Simplify right side
    102,602.60x = 15,436,345,704.54
  5. Step 5: Solve for x
    x = 15,436,345,704.54/102,602.60
  6. Step 6: Final answer
    x = 150,447.90

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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.