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Finding the Fourth Proportional to 101,217.65, 139,678.74 and 55,894.50

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Solution

The fourth proportional to 101,217.65, 139,678.74 and 55,894.50 is: 77,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,217.65 : 139,678.74 = 55,894.50 : x
  2. Step 2: Convert to fraction form
    101,217.65/139,678.74 = 55,894.50/x
  3. Step 3: Cross multiply
    101,217.65x = 139,678.74 × 55,894.50
  4. Step 4: Simplify right side
    101,217.65x = 7,807,273,332.93
  5. Step 5: Solve for x
    x = 7,807,273,332.93/101,217.65
  6. Step 6: Final answer
    x = 77,133.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.