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Finding the Fourth Proportional to 285,336.38, 393,732.42 and 157,980.08

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Solution

The fourth proportional to 285,336.38, 393,732.42 and 157,980.08 is: 217,994.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,336.38 : 393,732.42 = 157,980.08 : x
  2. Step 2: Convert to fraction form
    285,336.38/393,732.42 = 157,980.08/x
  3. Step 3: Cross multiply
    285,336.38x = 393,732.42 × 157,980.08
  4. Step 4: Simplify right side
    285,336.38x = 62,201,879,210.19
  5. Step 5: Solve for x
    x = 62,201,879,210.19/285,336.38
  6. Step 6: Final answer
    x = 217,994.91

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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.