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Finding the Fourth Proportional to 211,508.69, 316,639.74 and 185,264.69

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Solution

The fourth proportional to 211,508.69, 316,639.74 and 185,264.69 is: 277,351.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,508.69 : 316,639.74 = 185,264.69 : x
  2. Step 2: Convert to fraction form
    211,508.69/316,639.74 = 185,264.69/x
  3. Step 3: Cross multiply
    211,508.69x = 316,639.74 × 185,264.69
  4. Step 4: Simplify right side
    211,508.69x = 58,662,163,272.78
  5. Step 5: Solve for x
    x = 58,662,163,272.78/211,508.69
  6. Step 6: Final answer
    x = 277,351.08

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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.