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Finding the Fourth Proportional to 207,225.60, 310,829.14 and 65,067.49

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Solution

The fourth proportional to 207,225.60, 310,829.14 and 65,067.49 is: 97,598.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,225.60 : 310,829.14 = 65,067.49 : x
  2. Step 2: Convert to fraction form
    207,225.60/310,829.14 = 65,067.49/x
  3. Step 3: Cross multiply
    207,225.60x = 310,829.14 × 65,067.49
  4. Step 4: Simplify right side
    207,225.60x = 20,224,871,958.66
  5. Step 5: Solve for x
    x = 20,224,871,958.66/207,225.60
  6. Step 6: Final answer
    x = 97,598.33

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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.