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Finding the Fourth Proportional to 291,957.12, 402,901.56 and 164,634.84

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Solution

The fourth proportional to 291,957.12, 402,901.56 and 164,634.84 is: 227,196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,957.12 : 402,901.56 = 164,634.84 : x
  2. Step 2: Convert to fraction form
    291,957.12/402,901.56 = 164,634.84/x
  3. Step 3: Cross multiply
    291,957.12x = 402,901.56 × 164,634.84
  4. Step 4: Simplify right side
    291,957.12x = 66,331,633,866.35
  5. Step 5: Solve for x
    x = 66,331,633,866.35/291,957.12
  6. Step 6: Final answer
    x = 227,196.49

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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.