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Finding the Fourth Proportional to 105,688.80, 158,533.20 and 53,200.80

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Solution

The fourth proportional to 105,688.80, 158,533.20 and 53,200.80 is: 79,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,688.80 : 158,533.20 = 53,200.80 : x
  2. Step 2: Convert to fraction form
    105,688.80/158,533.20 = 53,200.80/x
  3. Step 3: Cross multiply
    105,688.80x = 158,533.20 × 53,200.80
  4. Step 4: Simplify right side
    105,688.80x = 8,434,093,066.56
  5. Step 5: Solve for x
    x = 8,434,093,066.56/105,688.80
  6. Step 6: Final answer
    x = 79,801.20

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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.