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Finding the Fourth Proportional to 287,493.33, 430,965.46 and 107,529.96

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Solution

The fourth proportional to 287,493.33, 430,965.46 and 107,529.96 is: 161,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,493.33 : 430,965.46 = 107,529.96 : x
  2. Step 2: Convert to fraction form
    287,493.33/430,965.46 = 107,529.96/x
  3. Step 3: Cross multiply
    287,493.33x = 430,965.46 × 107,529.96
  4. Step 4: Simplify right side
    287,493.33x = 46,341,700,425.71
  5. Step 5: Solve for x
    x = 46,341,700,425.71/287,493.33
  6. Step 6: Final answer
    x = 161,192.26

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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.