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Finding the Fourth Proportional to 112,817.40, 169,226.10 and 105,905.40

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Solution

The fourth proportional to 112,817.40, 169,226.10 and 105,905.40 is: 158,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,817.40 : 169,226.10 = 105,905.40 : x
  2. Step 2: Convert to fraction form
    112,817.40/169,226.10 = 105,905.40/x
  3. Step 3: Cross multiply
    112,817.40x = 169,226.10 × 105,905.40
  4. Step 4: Simplify right side
    112,817.40x = 17,921,957,810.94
  5. Step 5: Solve for x
    x = 17,921,957,810.94/112,817.40
  6. Step 6: Final answer
    x = 158,858.10

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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.