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Finding the Fourth Proportional to 112,969.82, 169,187.54 and 98,097.95

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Solution

The fourth proportional to 112,969.82, 169,187.54 and 98,097.95 is: 146,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,969.82 : 169,187.54 = 98,097.95 : x
  2. Step 2: Convert to fraction form
    112,969.82/169,187.54 = 98,097.95/x
  3. Step 3: Cross multiply
    112,969.82x = 169,187.54 × 98,097.95
  4. Step 4: Simplify right side
    112,969.82x = 16,596,950,772.02
  5. Step 5: Solve for x
    x = 16,596,950,772.02/112,969.82
  6. Step 6: Final answer
    x = 146,914.91

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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.