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Finding the Fourth Proportional to 189,068.40, 283,602.60 and 119,084.40

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Solution

The fourth proportional to 189,068.40, 283,602.60 and 119,084.40 is: 178,626.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,068.40 : 283,602.60 = 119,084.40 : x
  2. Step 2: Convert to fraction form
    189,068.40/283,602.60 = 119,084.40/x
  3. Step 3: Cross multiply
    189,068.40x = 283,602.60 × 119,084.40
  4. Step 4: Simplify right side
    189,068.40x = 33,772,645,459.44
  5. Step 5: Solve for x
    x = 33,772,645,459.44/189,068.40
  6. Step 6: Final answer
    x = 178,626.60

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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.