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Finding the Fourth Proportional to 175,211.60, 262,855.80 and 56,862.80

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Solution

The fourth proportional to 175,211.60, 262,855.80 and 56,862.80 is: 85,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,211.60 : 262,855.80 = 56,862.80 : x
  2. Step 2: Convert to fraction form
    175,211.60/262,855.80 = 56,862.80/x
  3. Step 3: Cross multiply
    175,211.60x = 262,855.80 × 56,862.80
  4. Step 4: Simplify right side
    175,211.60x = 14,946,716,784.24
  5. Step 5: Solve for x
    x = 14,946,716,784.24/175,211.60
  6. Step 6: Final answer
    x = 85,306.66

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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.