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Finding the Fourth Proportional to 175,214.40, 262,821.60 and 100,305.60

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Solution

The fourth proportional to 175,214.40, 262,821.60 and 100,305.60 is: 150,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,214.40 : 262,821.60 = 100,305.60 : x
  2. Step 2: Convert to fraction form
    175,214.40/262,821.60 = 100,305.60/x
  3. Step 3: Cross multiply
    175,214.40x = 262,821.60 × 100,305.60
  4. Step 4: Simplify right side
    175,214.40x = 26,362,478,280.96
  5. Step 5: Solve for x
    x = 26,362,478,280.96/175,214.40
  6. Step 6: Final answer
    x = 150,458.40

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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.