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Finding the Fourth Proportional to 102,203.60, 153,267.16 and 35,626.64

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Solution

The fourth proportional to 102,203.60, 153,267.16 and 35,626.64 is: 53,426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,203.60 : 153,267.16 = 35,626.64 : x
  2. Step 2: Convert to fraction form
    102,203.60/153,267.16 = 35,626.64/x
  3. Step 3: Cross multiply
    102,203.60x = 153,267.16 × 35,626.64
  4. Step 4: Simplify right side
    102,203.60x = 5,460,393,933.14
  5. Step 5: Solve for x
    x = 5,460,393,933.14/102,203.60
  6. Step 6: Final answer
    x = 53,426.63

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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.