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Finding the Fourth Proportional to 210,050.32, 314,335.80 and 131,201.68

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Solution

The fourth proportional to 210,050.32, 314,335.80 and 131,201.68 is: 196,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,050.32 : 314,335.80 = 131,201.68 : x
  2. Step 2: Convert to fraction form
    210,050.32/314,335.80 = 131,201.68/x
  3. Step 3: Cross multiply
    210,050.32x = 314,335.80 × 131,201.68
  4. Step 4: Simplify right side
    210,050.32x = 41,241,385,044.14
  5. Step 5: Solve for x
    x = 41,241,385,044.14/210,050.32
  6. Step 6: Final answer
    x = 196,340.50

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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.