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Finding the Fourth Proportional to 109,654.86, 164,349.74 and 53,410.70

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Solution

The fourth proportional to 109,654.86, 164,349.74 and 53,410.70 is: 80,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,654.86 : 164,349.74 = 53,410.70 : x
  2. Step 2: Convert to fraction form
    109,654.86/164,349.74 = 53,410.70/x
  3. Step 3: Cross multiply
    109,654.86x = 164,349.74 × 53,410.70
  4. Step 4: Simplify right side
    109,654.86x = 8,778,034,658.22
  5. Step 5: Solve for x
    x = 8,778,034,658.22/109,654.86
  6. Step 6: Final answer
    x = 80,051.49

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1.5x scale

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.