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Finding the Fourth Proportional to 167,071.76, 230,457 and 99,043.24

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Solution

The fourth proportional to 167,071.76, 230,457 and 99,043.24 is: 136,619.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,071.76 : 230,457 = 99,043.24 : x
  2. Step 2: Convert to fraction form
    167,071.76/230,457 = 99,043.24/x
  3. Step 3: Cross multiply
    167,071.76x = 230,457 × 99,043.24
  4. Step 4: Simplify right side
    167,071.76x = 22,825,207,960.68
  5. Step 5: Solve for x
    x = 22,825,207,960.68/167,071.76
  6. Step 6: Final answer
    x = 136,619.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.