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Finding the Fourth Proportional to 230,987.30, 346,331.10 and 97,831.40

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Solution

The fourth proportional to 230,987.30, 346,331.10 and 97,831.40 is: 146,683.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,987.30 : 346,331.10 = 97,831.40 : x
  2. Step 2: Convert to fraction form
    230,987.30/346,331.10 = 97,831.40/x
  3. Step 3: Cross multiply
    230,987.30x = 346,331.10 × 97,831.40
  4. Step 4: Simplify right side
    230,987.30x = 33,882,056,376.54
  5. Step 5: Solve for x
    x = 33,882,056,376.54/230,987.30
  6. Step 6: Final answer
    x = 146,683.63

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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.