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Finding the Fourth Proportional to 255,465.69, 352,542.74 and 148,097.96

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Solution

The fourth proportional to 255,465.69, 352,542.74 and 148,097.96 is: 204,375.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,465.69 : 352,542.74 = 148,097.96 : x
  2. Step 2: Convert to fraction form
    255,465.69/352,542.74 = 148,097.96/x
  3. Step 3: Cross multiply
    255,465.69x = 352,542.74 × 148,097.96
  4. Step 4: Simplify right side
    255,465.69x = 52,210,860,606.81
  5. Step 5: Solve for x
    x = 52,210,860,606.81/255,465.69
  6. Step 6: Final answer
    x = 204,375.24

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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.