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Finding the Fourth Proportional to 213,079.77, 319,671.68 and 70,924.77

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Solution

The fourth proportional to 213,079.77, 319,671.68 and 70,924.77 is: 106,404.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,079.77 : 319,671.68 = 70,924.77 : x
  2. Step 2: Convert to fraction form
    213,079.77/319,671.68 = 70,924.77/x
  3. Step 3: Cross multiply
    213,079.77x = 319,671.68 × 70,924.77
  4. Step 4: Simplify right side
    213,079.77x = 22,672,640,024.89
  5. Step 5: Solve for x
    x = 22,672,640,024.89/213,079.77
  6. Step 6: Final answer
    x = 106,404.47

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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.