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Finding the Fourth Proportional to 291,931.44, 402,853.14 and 164,618.88

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Solution

The fourth proportional to 291,931.44, 402,853.14 and 164,618.88 is: 227,167.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,931.44 : 402,853.14 = 164,618.88 : x
  2. Step 2: Convert to fraction form
    291,931.44/402,853.14 = 164,618.88/x
  3. Step 3: Cross multiply
    291,931.44x = 402,853.14 × 164,618.88
  4. Step 4: Simplify right side
    291,931.44x = 66,317,232,711.28
  5. Step 5: Solve for x
    x = 66,317,232,711.28/291,931.44
  6. Step 6: Final answer
    x = 227,167.15

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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.