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Finding the Fourth Proportional to 105,092.52, 144,985.98 and 64,736.28

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Solution

The fourth proportional to 105,092.52, 144,985.98 and 64,736.28 is: 89,310.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,092.52 : 144,985.98 = 64,736.28 : x
  2. Step 2: Convert to fraction form
    105,092.52/144,985.98 = 64,736.28/x
  3. Step 3: Cross multiply
    105,092.52x = 144,985.98 × 64,736.28
  4. Step 4: Simplify right side
    105,092.52x = 9,385,852,997.35
  5. Step 5: Solve for x
    x = 9,385,852,997.35/105,092.52
  6. Step 6: Final answer
    x = 89,310.38

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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.