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Finding the Fourth Proportional to 191,894.02, 287,841.03 and 51,649

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Solution

The fourth proportional to 191,894.02, 287,841.03 and 51,649 is: 77,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,894.02 : 287,841.03 = 51,649 : x
  2. Step 2: Convert to fraction form
    191,894.02/287,841.03 = 51,649/x
  3. Step 3: Cross multiply
    191,894.02x = 287,841.03 × 51,649
  4. Step 4: Simplify right side
    191,894.02x = 14,866,701,358.47
  5. Step 5: Solve for x
    x = 14,866,701,358.47/191,894.02
  6. Step 6: Final answer
    x = 77,473.50

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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.