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Finding the Fourth Proportional to 291,957.50, 402,901.43 and 164,633.13

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Solution

The fourth proportional to 291,957.50, 402,901.43 and 164,633.13 is: 227,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,957.50 : 402,901.43 = 164,633.13 : x
  2. Step 2: Convert to fraction form
    291,957.50/402,901.43 = 164,633.13/x
  3. Step 3: Cross multiply
    291,957.50x = 402,901.43 × 164,633.13
  4. Step 4: Simplify right side
    291,957.50x = 66,330,922,679.21
  5. Step 5: Solve for x
    x = 66,330,922,679.21/291,957.50
  6. Step 6: Final answer
    x = 227,193.76

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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.