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Finding the Fourth Proportional to 106,543.80, 159,815.70 and 101,623.05

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Solution

The fourth proportional to 106,543.80, 159,815.70 and 101,623.05 is: 152,434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,543.80 : 159,815.70 = 101,623.05 : x
  2. Step 2: Convert to fraction form
    106,543.80/159,815.70 = 101,623.05/x
  3. Step 3: Cross multiply
    106,543.80x = 159,815.70 × 101,623.05
  4. Step 4: Simplify right side
    106,543.80x = 16,240,958,871.89
  5. Step 5: Solve for x
    x = 16,240,958,871.89/106,543.80
  6. Step 6: Final answer
    x = 152,434.58

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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.