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Finding the Fourth Proportional to 219,498.16, 328,903.80 and 169,700.98

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Solution

The fourth proportional to 219,498.16, 328,903.80 and 169,700.98 is: 254,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,498.16 : 328,903.80 = 169,700.98 : x
  2. Step 2: Convert to fraction form
    219,498.16/328,903.80 = 169,700.98/x
  3. Step 3: Cross multiply
    219,498.16x = 328,903.80 × 169,700.98
  4. Step 4: Simplify right side
    219,498.16x = 55,815,297,185.72
  5. Step 5: Solve for x
    x = 55,815,297,185.72/219,498.16
  6. Step 6: Final answer
    x = 254,285.95

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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.