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Finding the Fourth Proportional to 109,496.80, 164,050.80 and 102,498.40

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Solution

The fourth proportional to 109,496.80, 164,050.80 and 102,498.40 is: 153,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,496.80 : 164,050.80 = 102,498.40 : x
  2. Step 2: Convert to fraction form
    109,496.80/164,050.80 = 102,498.40/x
  3. Step 3: Cross multiply
    109,496.80x = 164,050.80 × 102,498.40
  4. Step 4: Simplify right side
    109,496.80x = 16,814,944,518.72
  5. Step 5: Solve for x
    x = 16,814,944,518.72/109,496.80
  6. Step 6: Final answer
    x = 153,565.62

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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.