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Finding the Fourth Proportional to 265,714.48, 366,672.90 and 150,978.16

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Solution

The fourth proportional to 265,714.48, 366,672.90 and 150,978.16 is: 208,342.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,714.48 : 366,672.90 = 150,978.16 : x
  2. Step 2: Convert to fraction form
    265,714.48/366,672.90 = 150,978.16/x
  3. Step 3: Cross multiply
    265,714.48x = 366,672.90 × 150,978.16
  4. Step 4: Simplify right side
    265,714.48x = 55,359,599,763.86
  5. Step 5: Solve for x
    x = 55,359,599,763.86/265,714.48
  6. Step 6: Final answer
    x = 208,342.43

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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.