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Finding the Fourth Proportional to 377,642.25, 566,268.57 and 111,368.25

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Solution

The fourth proportional to 377,642.25, 566,268.57 and 111,368.25 is: 166,994.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,642.25 : 566,268.57 = 111,368.25 : x
  2. Step 2: Convert to fraction form
    377,642.25/566,268.57 = 111,368.25/x
  3. Step 3: Cross multiply
    377,642.25x = 566,268.57 × 111,368.25
  4. Step 4: Simplify right side
    377,642.25x = 63,064,339,670.90
  5. Step 5: Solve for x
    x = 63,064,339,670.90/377,642.25
  6. Step 6: Final answer
    x = 166,994.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.