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Finding the Fourth Proportional to 198,602.80, 297,904.20 and 109,810.60

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Solution

The fourth proportional to 198,602.80, 297,904.20 and 109,810.60 is: 164,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,602.80 : 297,904.20 = 109,810.60 : x
  2. Step 2: Convert to fraction form
    198,602.80/297,904.20 = 109,810.60/x
  3. Step 3: Cross multiply
    198,602.80x = 297,904.20 × 109,810.60
  4. Step 4: Simplify right side
    198,602.80x = 32,713,038,944.52
  5. Step 5: Solve for x
    x = 32,713,038,944.52/198,602.80
  6. Step 6: Final answer
    x = 164,715.90

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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.