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Finding the Fourth Proportional to 265,053.80, 365,765.90 and 144,191.98

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Solution

The fourth proportional to 265,053.80, 365,765.90 and 144,191.98 is: 198,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,053.80 : 365,765.90 = 144,191.98 : x
  2. Step 2: Convert to fraction form
    265,053.80/365,765.90 = 144,191.98/x
  3. Step 3: Cross multiply
    265,053.80x = 365,765.90 × 144,191.98
  4. Step 4: Simplify right side
    265,053.80x = 52,740,509,337.48
  5. Step 5: Solve for x
    x = 52,740,509,337.48/265,053.80
  6. Step 6: Final answer
    x = 198,980.39

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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.