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Finding the Fourth Proportional to 145,251.90, 217,834.65 and 56,454.30

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Solution

The fourth proportional to 145,251.90, 217,834.65 and 56,454.30 is: 84,664.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,251.90 : 217,834.65 = 56,454.30 : x
  2. Step 2: Convert to fraction form
    145,251.90/217,834.65 = 56,454.30/x
  3. Step 3: Cross multiply
    145,251.90x = 217,834.65 × 56,454.30
  4. Step 4: Simplify right side
    145,251.90x = 12,297,702,681.50
  5. Step 5: Solve for x
    x = 12,297,702,681.50/145,251.90
  6. Step 6: Final answer
    x = 84,664.66

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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.