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Finding the Fourth Proportional to 291,539.01, 402,308.32 and 164,206.41

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Solution

The fourth proportional to 291,539.01, 402,308.32 and 164,206.41 is: 226,596.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,539.01 : 402,308.32 = 164,206.41 : x
  2. Step 2: Convert to fraction form
    291,539.01/402,308.32 = 164,206.41/x
  3. Step 3: Cross multiply
    291,539.01x = 402,308.32 × 164,206.41
  4. Step 4: Simplify right side
    291,539.01x = 66,061,603,329.05
  5. Step 5: Solve for x
    x = 66,061,603,329.05/291,539.01
  6. Step 6: Final answer
    x = 226,596.10

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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.