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Finding the Fourth Proportional to 265,409.50, 366,259.64 and 144,552.91

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Solution

The fourth proportional to 265,409.50, 366,259.64 and 144,552.91 is: 199,480.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,409.50 : 366,259.64 = 144,552.91 : x
  2. Step 2: Convert to fraction form
    265,409.50/366,259.64 = 144,552.91/x
  3. Step 3: Cross multiply
    265,409.50x = 366,259.64 × 144,552.91
  4. Step 4: Simplify right side
    265,409.50x = 52,943,896,777.55
  5. Step 5: Solve for x
    x = 52,943,896,777.55/265,409.50
  6. Step 6: Final answer
    x = 199,480.04

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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.