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Finding the Fourth Proportional to 155,066.21, 232,646 and 48,445.86

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Solution

The fourth proportional to 155,066.21, 232,646 and 48,445.86 is: 72,683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,066.21 : 232,646 = 48,445.86 : x
  2. Step 2: Convert to fraction form
    155,066.21/232,646 = 48,445.86/x
  3. Step 3: Cross multiply
    155,066.21x = 232,646 × 48,445.86
  4. Step 4: Simplify right side
    155,066.21x = 11,270,735,545.56
  5. Step 5: Solve for x
    x = 11,270,735,545.56/155,066.21
  6. Step 6: Final answer
    x = 72,683.38

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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.