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Finding the Fourth Proportional to 291,425.48, 402,205.46 and 164,125.96

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Solution

The fourth proportional to 291,425.48, 402,205.46 and 164,125.96 is: 226,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,425.48 : 402,205.46 = 164,125.96 : x
  2. Step 2: Convert to fraction form
    291,425.48/402,205.46 = 164,125.96/x
  3. Step 3: Cross multiply
    291,425.48x = 402,205.46 × 164,125.96
  4. Step 4: Simplify right side
    291,425.48x = 66,012,357,239.74
  5. Step 5: Solve for x
    x = 66,012,357,239.74/291,425.48
  6. Step 6: Final answer
    x = 226,515.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.