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Finding the Fourth Proportional to 301,501.15, 416,072.42 and 165,543.90

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Solution

The fourth proportional to 301,501.15, 416,072.42 and 165,543.90 is: 228,451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,501.15 : 416,072.42 = 165,543.90 : x
  2. Step 2: Convert to fraction form
    301,501.15/416,072.42 = 165,543.90/x
  3. Step 3: Cross multiply
    301,501.15x = 416,072.42 × 165,543.90
  4. Step 4: Simplify right side
    301,501.15x = 68,878,252,128.04
  5. Step 5: Solve for x
    x = 68,878,252,128.04/301,501.15
  6. Step 6: Final answer
    x = 228,451.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.