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Finding the Fourth Proportional to 119,312.25, 178,969.46 and 36,206.25

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Solution

The fourth proportional to 119,312.25, 178,969.46 and 36,206.25 is: 54,309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,312.25 : 178,969.46 = 36,206.25 : x
  2. Step 2: Convert to fraction form
    119,312.25/178,969.46 = 36,206.25/x
  3. Step 3: Cross multiply
    119,312.25x = 178,969.46 × 36,206.25
  4. Step 4: Simplify right side
    119,312.25x = 6,479,812,830.09
  5. Step 5: Solve for x
    x = 6,479,812,830.09/119,312.25
  6. Step 6: Final answer
    x = 54,309.70

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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.