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Finding the Fourth Proportional to 98,136.60, 147,204.90 and 35,831.40

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Solution

The fourth proportional to 98,136.60, 147,204.90 and 35,831.40 is: 53,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,136.60 : 147,204.90 = 35,831.40 : x
  2. Step 2: Convert to fraction form
    98,136.60/147,204.90 = 35,831.40/x
  3. Step 3: Cross multiply
    98,136.60x = 147,204.90 × 35,831.40
  4. Step 4: Simplify right side
    98,136.60x = 5,274,557,653.86
  5. Step 5: Solve for x
    x = 5,274,557,653.86/98,136.60
  6. Step 6: Final answer
    x = 53,747.10

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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.