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Finding the Fourth Proportional to 152,441.28, 228,268.08 and 105,202.08

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Solution

The fourth proportional to 152,441.28, 228,268.08 and 105,202.08 is: 157,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,441.28 : 228,268.08 = 105,202.08 : x
  2. Step 2: Convert to fraction form
    152,441.28/228,268.08 = 105,202.08/x
  3. Step 3: Cross multiply
    152,441.28x = 228,268.08 × 105,202.08
  4. Step 4: Simplify right side
    152,441.28x = 24,014,276,813.61
  5. Step 5: Solve for x
    x = 24,014,276,813.61/152,441.28
  6. Step 6: Final answer
    x = 157,531.32

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