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Finding the Fourth Proportional to 291,655.24, 402,525.93 and 164,342.68

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Solution

The fourth proportional to 291,655.24, 402,525.93 and 164,342.68 is: 226,816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,655.24 : 402,525.93 = 164,342.68 : x
  2. Step 2: Convert to fraction form
    291,655.24/402,525.93 = 164,342.68/x
  3. Step 3: Cross multiply
    291,655.24x = 402,525.93 × 164,342.68
  4. Step 4: Simplify right side
    291,655.24x = 66,152,190,105.69
  5. Step 5: Solve for x
    x = 66,152,190,105.69/291,655.24
  6. Step 6: Final answer
    x = 226,816.39

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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.