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Finding the Fourth Proportional to 190,466.40, 285,116.40 and 137,978.40

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Solution

The fourth proportional to 190,466.40, 285,116.40 and 137,978.40 is: 206,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,466.40 : 285,116.40 = 137,978.40 : x
  2. Step 2: Convert to fraction form
    190,466.40/285,116.40 = 137,978.40/x
  3. Step 3: Cross multiply
    190,466.40x = 285,116.40 × 137,978.40
  4. Step 4: Simplify right side
    190,466.40x = 39,339,904,685.76
  5. Step 5: Solve for x
    x = 39,339,904,685.76/190,466.40
  6. Step 6: Final answer
    x = 206,545.12

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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.