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Finding the Fourth Proportional to 210,003.70, 314,923.65 and 91,594.30

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Solution

The fourth proportional to 210,003.70, 314,923.65 and 91,594.30 is: 137,355.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,003.70 : 314,923.65 = 91,594.30 : x
  2. Step 2: Convert to fraction form
    210,003.70/314,923.65 = 91,594.30/x
  3. Step 3: Cross multiply
    210,003.70x = 314,923.65 × 91,594.30
  4. Step 4: Simplify right side
    210,003.70x = 28,845,211,275.20
  5. Step 5: Solve for x
    x = 28,845,211,275.20/210,003.70
  6. Step 6: Final answer
    x = 137,355.73

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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.