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Finding the Fourth Proportional to 255,322.16, 352,317.84 and 147,926.96

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Solution

The fourth proportional to 255,322.16, 352,317.84 and 147,926.96 is: 204,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,322.16 : 352,317.84 = 147,926.96 : x
  2. Step 2: Convert to fraction form
    255,322.16/352,317.84 = 147,926.96/x
  3. Step 3: Cross multiply
    255,322.16x = 352,317.84 × 147,926.96
  4. Step 4: Simplify right side
    255,322.16x = 52,117,307,024.97
  5. Step 5: Solve for x
    x = 52,117,307,024.97/255,322.16
  6. Step 6: Final answer
    x = 204,123.71

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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.