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Finding the Fourth Proportional to 265,194.95, 365,957.06 and 144,335.93

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Solution

The fourth proportional to 265,194.95, 365,957.06 and 144,335.93 is: 199,177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,194.95 : 365,957.06 = 144,335.93 : x
  2. Step 2: Convert to fraction form
    265,194.95/365,957.06 = 144,335.93/x
  3. Step 3: Cross multiply
    265,194.95x = 365,957.06 × 144,335.93
  4. Step 4: Simplify right side
    265,194.95x = 52,820,750,043.70
  5. Step 5: Solve for x
    x = 52,820,750,043.70/265,194.95
  6. Step 6: Final answer
    x = 199,177.06

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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.