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Finding the Fourth Proportional to 197,874.65, 296,807.81 and 48,115.71

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Solution

The fourth proportional to 197,874.65, 296,807.81 and 48,115.71 is: 72,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,874.65 : 296,807.81 = 48,115.71 : x
  2. Step 2: Convert to fraction form
    197,874.65/296,807.81 = 48,115.71/x
  3. Step 3: Cross multiply
    197,874.65x = 296,807.81 × 48,115.71
  4. Step 4: Simplify right side
    197,874.65x = 14,281,118,271.12
  5. Step 5: Solve for x
    x = 14,281,118,271.12/197,874.65
  6. Step 6: Final answer
    x = 72,172.55

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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.