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Finding the Fourth Proportional to 228,070.71, 342,161.85 and 160,734.12

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Solution

The fourth proportional to 228,070.71, 342,161.85 and 160,734.12 is: 241,140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,070.71 : 342,161.85 = 160,734.12 : x
  2. Step 2: Convert to fraction form
    228,070.71/342,161.85 = 160,734.12/x
  3. Step 3: Cross multiply
    228,070.71x = 342,161.85 × 160,734.12
  4. Step 4: Simplify right side
    228,070.71x = 54,997,083,857.32
  5. Step 5: Solve for x
    x = 54,997,083,857.32/228,070.71
  6. Step 6: Final answer
    x = 241,140.49

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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.