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Finding the Fourth Proportional to 106,210.62, 159,414.48 and 53,657.01

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Solution

The fourth proportional to 106,210.62, 159,414.48 and 53,657.01 is: 80,535.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,210.62 : 159,414.48 = 53,657.01 : x
  2. Step 2: Convert to fraction form
    106,210.62/159,414.48 = 53,657.01/x
  3. Step 3: Cross multiply
    106,210.62x = 159,414.48 × 53,657.01
  4. Step 4: Simplify right side
    106,210.62x = 8,553,704,347.50
  5. Step 5: Solve for x
    x = 8,553,704,347.50/106,210.62
  6. Step 6: Final answer
    x = 80,535.30

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1.5x scale

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.