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Finding the Fourth Proportional to 77,196.87, 115,699.93 and 45,574.88

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Solution

The fourth proportional to 77,196.87, 115,699.93 and 45,574.88 is: 68,306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,196.87 : 115,699.93 = 45,574.88 : x
  2. Step 2: Convert to fraction form
    77,196.87/115,699.93 = 45,574.88/x
  3. Step 3: Cross multiply
    77,196.87x = 115,699.93 × 45,574.88
  4. Step 4: Simplify right side
    77,196.87x = 5,273,009,733.32
  5. Step 5: Solve for x
    x = 5,273,009,733.32/77,196.87
  6. Step 6: Final answer
    x = 68,306.00

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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.