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Finding the Fourth Proportional to 114,782.83, 171,950.04 and 64,711.48

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Solution

The fourth proportional to 114,782.83, 171,950.04 and 64,711.48 is: 96,940.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,782.83 : 171,950.04 = 64,711.48 : x
  2. Step 2: Convert to fraction form
    114,782.83/171,950.04 = 64,711.48/x
  3. Step 3: Cross multiply
    114,782.83x = 171,950.04 × 64,711.48
  4. Step 4: Simplify right side
    114,782.83x = 11,127,141,574.46
  5. Step 5: Solve for x
    x = 11,127,141,574.46/114,782.83
  6. Step 6: Final answer
    x = 96,940.82

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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.