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Finding the Fourth Proportional to 198,701.80, 298,052.70 and 105,389.80

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Solution

The fourth proportional to 198,701.80, 298,052.70 and 105,389.80 is: 158,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,701.80 : 298,052.70 = 105,389.80 : x
  2. Step 2: Convert to fraction form
    198,701.80/298,052.70 = 105,389.80/x
  3. Step 3: Cross multiply
    198,701.80x = 298,052.70 × 105,389.80
  4. Step 4: Simplify right side
    198,701.80x = 31,411,714,442.46
  5. Step 5: Solve for x
    x = 31,411,714,442.46/198,701.80
  6. Step 6: Final answer
    x = 158,084.70

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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.