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Finding the Fourth Proportional to 185,453, 278,226.12 and 85,683.80

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Solution

The fourth proportional to 185,453, 278,226.12 and 85,683.80 is: 128,547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,453 : 278,226.12 = 85,683.80 : x
  2. Step 2: Convert to fraction form
    185,453/278,226.12 = 85,683.80/x
  3. Step 3: Cross multiply
    185,453x = 278,226.12 × 85,683.80
  4. Step 4: Simplify right side
    185,453x = 23,839,471,220.86
  5. Step 5: Solve for x
    x = 23,839,471,220.86/185,453
  6. Step 6: Final answer
    x = 128,547.24

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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.