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Finding the Fourth Proportional to 102,435.10, 153,652.65 and 100,466.80

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Solution

The fourth proportional to 102,435.10, 153,652.65 and 100,466.80 is: 150,700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,435.10 : 153,652.65 = 100,466.80 : x
  2. Step 2: Convert to fraction form
    102,435.10/153,652.65 = 100,466.80/x
  3. Step 3: Cross multiply
    102,435.10x = 153,652.65 × 100,466.80
  4. Step 4: Simplify right side
    102,435.10x = 15,436,990,057.02
  5. Step 5: Solve for x
    x = 15,436,990,057.02/102,435.10
  6. Step 6: Final answer
    x = 150,700.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.