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Finding the Fourth Proportional to 123,898.86, 185,845.26 and 35,152.50

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Solution

The fourth proportional to 123,898.86, 185,845.26 and 35,152.50 is: 52,727.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,898.86 : 185,845.26 = 35,152.50 : x
  2. Step 2: Convert to fraction form
    123,898.86/185,845.26 = 35,152.50/x
  3. Step 3: Cross multiply
    123,898.86x = 185,845.26 × 35,152.50
  4. Step 4: Simplify right side
    123,898.86x = 6,532,925,502.15
  5. Step 5: Solve for x
    x = 6,532,925,502.15/123,898.86
  6. Step 6: Final answer
    x = 52,727.89

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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.