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Finding the Fourth Proportional to 106,500.30, 159,750.45 and 105,809.10

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Solution

The fourth proportional to 106,500.30, 159,750.45 and 105,809.10 is: 158,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,500.30 : 159,750.45 = 105,809.10 : x
  2. Step 2: Convert to fraction form
    106,500.30/159,750.45 = 105,809.10/x
  3. Step 3: Cross multiply
    106,500.30x = 159,750.45 × 105,809.10
  4. Step 4: Simplify right side
    106,500.30x = 16,903,051,339.10
  5. Step 5: Solve for x
    x = 16,903,051,339.10/106,500.30
  6. Step 6: Final answer
    x = 158,713.65

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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.