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Finding the Fourth Proportional to 213,012.38, 293,946.83 and 116,210.48

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Solution

The fourth proportional to 213,012.38, 293,946.83 and 116,210.48 is: 160,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,012.38 : 293,946.83 = 116,210.48 : x
  2. Step 2: Convert to fraction form
    213,012.38/293,946.83 = 116,210.48/x
  3. Step 3: Cross multiply
    213,012.38x = 293,946.83 × 116,210.48
  4. Step 4: Simplify right side
    213,012.38x = 34,159,700,593.78
  5. Step 5: Solve for x
    x = 34,159,700,593.78/213,012.38
  6. Step 6: Final answer
    x = 160,364.86

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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.