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Finding the Fourth Proportional to 119,140, 164,720.40 and 113,917.60

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Solution

The fourth proportional to 119,140, 164,720.40 and 113,917.60 is: 157,500.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,140 : 164,720.40 = 113,917.60 : x
  2. Step 2: Convert to fraction form
    119,140/164,720.40 = 113,917.60/x
  3. Step 3: Cross multiply
    119,140x = 164,720.40 × 113,917.60
  4. Step 4: Simplify right side
    119,140x = 18,764,552,639.04
  5. Step 5: Solve for x
    x = 18,764,552,639.04/119,140
  6. Step 6: Final answer
    x = 157,500.02

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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.