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Finding the Fourth Proportional to 255,011.96, 351,718.80 and 164,382.68

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Solution

The fourth proportional to 255,011.96, 351,718.80 and 164,382.68 is: 226,720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,011.96 : 351,718.80 = 164,382.68 : x
  2. Step 2: Convert to fraction form
    255,011.96/351,718.80 = 164,382.68/x
  3. Step 3: Cross multiply
    255,011.96x = 351,718.80 × 164,382.68
  4. Step 4: Simplify right side
    255,011.96x = 57,816,478,950.38
  5. Step 5: Solve for x
    x = 57,816,478,950.38/255,011.96
  6. Step 6: Final answer
    x = 226,720.66

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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.