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Finding the Fourth Proportional to 265,220.83, 366,012.53 and 144,370

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Solution

The fourth proportional to 265,220.83, 366,012.53 and 144,370 is: 199,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,220.83 : 366,012.53 = 144,370 : x
  2. Step 2: Convert to fraction form
    265,220.83/366,012.53 = 144,370/x
  3. Step 3: Cross multiply
    265,220.83x = 366,012.53 × 144,370
  4. Step 4: Simplify right side
    265,220.83x = 52,841,228,956.10
  5. Step 5: Solve for x
    x = 52,841,228,956.10/265,220.83
  6. Step 6: Final answer
    x = 199,234.84

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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.