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Finding the Fourth Proportional to 295,136.60, 442,935.30 and 137,384.60

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Solution

The fourth proportional to 295,136.60, 442,935.30 and 137,384.60 is: 206,184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,136.60 : 442,935.30 = 137,384.60 : x
  2. Step 2: Convert to fraction form
    295,136.60/442,935.30 = 137,384.60/x
  3. Step 3: Cross multiply
    295,136.60x = 442,935.30 × 137,384.60
  4. Step 4: Simplify right side
    295,136.60x = 60,852,489,016.38
  5. Step 5: Solve for x
    x = 60,852,489,016.38/295,136.60
  6. Step 6: Final answer
    x = 206,184.15

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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.