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Finding the Fourth Proportional to 264,382.28, 364,848.01 and 151,205.03

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Solution

The fourth proportional to 264,382.28, 364,848.01 and 151,205.03 is: 208,663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,382.28 : 364,848.01 = 151,205.03 : x
  2. Step 2: Convert to fraction form
    264,382.28/364,848.01 = 151,205.03/x
  3. Step 3: Cross multiply
    264,382.28x = 364,848.01 × 151,205.03
  4. Step 4: Simplify right side
    264,382.28x = 55,166,854,453.59
  5. Step 5: Solve for x
    x = 55,166,854,453.59/264,382.28
  6. Step 6: Final answer
    x = 208,663.21

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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.