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Finding the Fourth Proportional to 315,361.08, 473,103.92 and 115,683.20

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Solution

The fourth proportional to 315,361.08, 473,103.92 and 115,683.20 is: 173,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,361.08 : 473,103.92 = 115,683.20 : x
  2. Step 2: Convert to fraction form
    315,361.08/473,103.92 = 115,683.20/x
  3. Step 3: Cross multiply
    315,361.08x = 473,103.92 × 115,683.20
  4. Step 4: Simplify right side
    315,361.08x = 54,730,173,321.83
  5. Step 5: Solve for x
    x = 54,730,173,321.83/315,361.08
  6. Step 6: Final answer
    x = 173,547.65

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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.