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Finding the Fourth Proportional to 264,475.68, 364,873.20 and 151,237.92

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Solution

The fourth proportional to 264,475.68, 364,873.20 and 151,237.92 is: 208,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,475.68 : 364,873.20 = 151,237.92 : x
  2. Step 2: Convert to fraction form
    264,475.68/364,873.20 = 151,237.92/x
  3. Step 3: Cross multiply
    264,475.68x = 364,873.20 × 151,237.92
  4. Step 4: Simplify right side
    264,475.68x = 55,182,663,831.74
  5. Step 5: Solve for x
    x = 55,182,663,831.74/264,475.68
  6. Step 6: Final answer
    x = 208,649.29

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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.