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Finding the Fourth Proportional to 116,782.66, 175,158.12 and 45,655.82

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Solution

The fourth proportional to 116,782.66, 175,158.12 and 45,655.82 is: 68,477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,782.66 : 175,158.12 = 45,655.82 : x
  2. Step 2: Convert to fraction form
    116,782.66/175,158.12 = 45,655.82/x
  3. Step 3: Cross multiply
    116,782.66x = 175,158.12 × 45,655.82
  4. Step 4: Simplify right side
    116,782.66x = 7,996,986,722.47
  5. Step 5: Solve for x
    x = 7,996,986,722.47/116,782.66
  6. Step 6: Final answer
    x = 68,477.52

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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.