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Finding the Fourth Proportional to 114,765.96, 172,142.25 and 51,569.76

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Solution

The fourth proportional to 114,765.96, 172,142.25 and 51,569.76 is: 77,351.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,765.96 : 172,142.25 = 51,569.76 : x
  2. Step 2: Convert to fraction form
    114,765.96/172,142.25 = 51,569.76/x
  3. Step 3: Cross multiply
    114,765.96x = 172,142.25 × 51,569.76
  4. Step 4: Simplify right side
    114,765.96x = 8,877,334,518.36
  5. Step 5: Solve for x
    x = 8,877,334,518.36/114,765.96
  6. Step 6: Final answer
    x = 77,351.63

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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.