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Finding the Fourth Proportional to 201,094.66, 301,641.65 and 51,334.92

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Solution

The fourth proportional to 201,094.66, 301,641.65 and 51,334.92 is: 77,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,094.66 : 301,641.65 = 51,334.92 : x
  2. Step 2: Convert to fraction form
    201,094.66/301,641.65 = 51,334.92/x
  3. Step 3: Cross multiply
    201,094.66x = 301,641.65 × 51,334.92
  4. Step 4: Simplify right side
    201,094.66x = 15,484,749,714.74
  5. Step 5: Solve for x
    x = 15,484,749,714.74/201,094.66
  6. Step 6: Final answer
    x = 77,002.29

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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.