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Finding the Fourth Proportional to 291,926.16, 402,872.13 and 164,599.02

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Solution

The fourth proportional to 291,926.16, 402,872.13 and 164,599.02 is: 227,154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,926.16 : 402,872.13 = 164,599.02 : x
  2. Step 2: Convert to fraction form
    291,926.16/402,872.13 = 164,599.02/x
  3. Step 3: Cross multiply
    291,926.16x = 402,872.13 × 164,599.02
  4. Step 4: Simplify right side
    291,926.16x = 66,312,357,783.31
  5. Step 5: Solve for x
    x = 66,312,357,783.31/291,926.16
  6. Step 6: Final answer
    x = 227,154.56

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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.