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Finding the Fourth Proportional to 257,794.32, 355,798.91 and 150,364.35

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Solution

The fourth proportional to 257,794.32, 355,798.91 and 150,364.35 is: 207,527.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,794.32 : 355,798.91 = 150,364.35 : x
  2. Step 2: Convert to fraction form
    257,794.32/355,798.91 = 150,364.35/x
  3. Step 3: Cross multiply
    257,794.32x = 355,798.91 × 150,364.35
  4. Step 4: Simplify right side
    257,794.32x = 53,499,471,832.86
  5. Step 5: Solve for x
    x = 53,499,471,832.86/257,794.32
  6. Step 6: Final answer
    x = 207,527.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.