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Finding the Fourth Proportional to 291,504, 402,206.40 and 164,154.24

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Solution

The fourth proportional to 291,504, 402,206.40 and 164,154.24 is: 226,493.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,504 : 402,206.40 = 164,154.24 : x
  2. Step 2: Convert to fraction form
    291,504/402,206.40 = 164,154.24/x
  3. Step 3: Cross multiply
    291,504x = 402,206.40 × 164,154.24
  4. Step 4: Simplify right side
    291,504x = 66,023,885,915.14
  5. Step 5: Solve for x
    x = 66,023,885,915.14/291,504
  6. Step 6: Final answer
    x = 226,493.93

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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.