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Finding the Fourth Proportional to 76,135.80, 114,203.06 and 59,509.81

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Solution

The fourth proportional to 76,135.80, 114,203.06 and 59,509.81 is: 89,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,135.80 : 114,203.06 = 59,509.81 : x
  2. Step 2: Convert to fraction form
    76,135.80/114,203.06 = 59,509.81/x
  3. Step 3: Cross multiply
    76,135.80x = 114,203.06 × 59,509.81
  4. Step 4: Simplify right side
    76,135.80x = 6,796,202,104.47
  5. Step 5: Solve for x
    x = 6,796,202,104.47/76,135.80
  6. Step 6: Final answer
    x = 89,264.22

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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.