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Finding the Fourth Proportional to 265,393.68, 366,276.80 and 152,214

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Solution

The fourth proportional to 265,393.68, 366,276.80 and 152,214 is: 210,074.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,393.68 : 366,276.80 = 152,214 : x
  2. Step 2: Convert to fraction form
    265,393.68/366,276.80 = 152,214/x
  3. Step 3: Cross multiply
    265,393.68x = 366,276.80 × 152,214
  4. Step 4: Simplify right side
    265,393.68x = 55,752,456,835.20
  5. Step 5: Solve for x
    x = 55,752,456,835.20/265,393.68
  6. Step 6: Final answer
    x = 210,074.55

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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.