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Finding the Fourth Proportional to 207,041.64, 285,859.10 and 158,558.02

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Solution

The fourth proportional to 207,041.64, 285,859.10 and 158,558.02 is: 218,918.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,041.64 : 285,859.10 = 158,558.02 : x
  2. Step 2: Convert to fraction form
    207,041.64/285,859.10 = 158,558.02/x
  3. Step 3: Cross multiply
    207,041.64x = 285,859.10 × 158,558.02
  4. Step 4: Simplify right side
    207,041.64x = 45,325,252,894.98
  5. Step 5: Solve for x
    x = 45,325,252,894.98/207,041.64
  6. Step 6: Final answer
    x = 218,918.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.