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Finding the Fourth Proportional to 206,746.40, 310,411.20 and 128,014.40

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Solution

The fourth proportional to 206,746.40, 310,411.20 and 128,014.40 is: 192,202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,746.40 : 310,411.20 = 128,014.40 : x
  2. Step 2: Convert to fraction form
    206,746.40/310,411.20 = 128,014.40/x
  3. Step 3: Cross multiply
    206,746.40x = 310,411.20 × 128,014.40
  4. Step 4: Simplify right side
    206,746.40x = 39,737,103,521.28
  5. Step 5: Solve for x
    x = 39,737,103,521.28/206,746.40
  6. Step 6: Final answer
    x = 192,202.15

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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.