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Finding the Fourth Proportional to 287,645.62, 431,662.83 and 100,658.74

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Solution

The fourth proportional to 287,645.62, 431,662.83 and 100,658.74 is: 151,056.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,645.62 : 431,662.83 = 100,658.74 : x
  2. Step 2: Convert to fraction form
    287,645.62/431,662.83 = 100,658.74/x
  3. Step 3: Cross multiply
    287,645.62x = 431,662.83 × 100,658.74
  4. Step 4: Simplify right side
    287,645.62x = 43,450,636,572.63
  5. Step 5: Solve for x
    x = 43,450,636,572.63/287,645.62
  6. Step 6: Final answer
    x = 151,056.14

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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.