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Finding the Fourth Proportional to 102,105.88, 153,158.82 and 46,663

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Solution

The fourth proportional to 102,105.88, 153,158.82 and 46,663 is: 69,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,105.88 : 153,158.82 = 46,663 : x
  2. Step 2: Convert to fraction form
    102,105.88/153,158.82 = 46,663/x
  3. Step 3: Cross multiply
    102,105.88x = 153,158.82 × 46,663
  4. Step 4: Simplify right side
    102,105.88x = 7,146,850,017.66
  5. Step 5: Solve for x
    x = 7,146,850,017.66/102,105.88
  6. Step 6: Final answer
    x = 69,994.50

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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.