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Finding the Fourth Proportional to 149,124.96, 205,724.64 and 88,661.30

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Solution

The fourth proportional to 149,124.96, 205,724.64 and 88,661.30 is: 122,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,124.96 : 205,724.64 = 88,661.30 : x
  2. Step 2: Convert to fraction form
    149,124.96/205,724.64 = 88,661.30/x
  3. Step 3: Cross multiply
    149,124.96x = 205,724.64 × 88,661.30
  4. Step 4: Simplify right side
    149,124.96x = 18,239,814,024.43
  5. Step 5: Solve for x
    x = 18,239,814,024.43/149,124.96
  6. Step 6: Final answer
    x = 122,312.28

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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.