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Finding the Fourth Proportional to 198,016.40, 296,893.40 and 109,312.40

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Solution

The fourth proportional to 198,016.40, 296,893.40 and 109,312.40 is: 163,896.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,016.40 : 296,893.40 = 109,312.40 : x
  2. Step 2: Convert to fraction form
    198,016.40/296,893.40 = 109,312.40/x
  3. Step 3: Cross multiply
    198,016.40x = 296,893.40 × 109,312.40
  4. Step 4: Simplify right side
    198,016.40x = 32,454,130,098.16
  5. Step 5: Solve for x
    x = 32,454,130,098.16/198,016.40
  6. Step 6: Final answer
    x = 163,896.17

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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.