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Finding the Fourth Proportional to 106,187.46, 159,094.31 and 99,866.23

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Solution

The fourth proportional to 106,187.46, 159,094.31 and 99,866.23 is: 149,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,187.46 : 159,094.31 = 99,866.23 : x
  2. Step 2: Convert to fraction form
    106,187.46/159,094.31 = 99,866.23/x
  3. Step 3: Cross multiply
    106,187.46x = 159,094.31 × 99,866.23
  4. Step 4: Simplify right side
    106,187.46x = 15,888,149,159.91
  5. Step 5: Solve for x
    x = 15,888,149,159.91/106,187.46
  6. Step 6: Final answer
    x = 149,623.60

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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.