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Finding the Fourth Proportional to 265,203.66, 365,953.47 and 150,445.74

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Solution

The fourth proportional to 265,203.66, 365,953.47 and 150,445.74 is: 207,599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,203.66 : 365,953.47 = 150,445.74 : x
  2. Step 2: Convert to fraction form
    265,203.66/365,953.47 = 150,445.74/x
  3. Step 3: Cross multiply
    265,203.66x = 365,953.47 × 150,445.74
  4. Step 4: Simplify right side
    265,203.66x = 55,056,140,599.72
  5. Step 5: Solve for x
    x = 55,056,140,599.72/265,203.66
  6. Step 6: Final answer
    x = 207,599.48

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1.5x scale

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.