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Finding the Fourth Proportional to 291,956.94, 402,900.65 and 164,632.57

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Solution

The fourth proportional to 291,956.94, 402,900.65 and 164,632.57 is: 227,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,956.94 : 402,900.65 = 164,632.57 : x
  2. Step 2: Convert to fraction form
    291,956.94/402,900.65 = 164,632.57/x
  3. Step 3: Cross multiply
    291,956.94x = 402,900.65 × 164,632.57
  4. Step 4: Simplify right side
    291,956.94x = 66,330,568,251.13
  5. Step 5: Solve for x
    x = 66,330,568,251.13/291,956.94
  6. Step 6: Final answer
    x = 227,192.98

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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.