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Finding the Fourth Proportional to 265,509.56, 398,342.16 and 78,525.92

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Solution

The fourth proportional to 265,509.56, 398,342.16 and 78,525.92 is: 117,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,509.56 : 398,342.16 = 78,525.92 : x
  2. Step 2: Convert to fraction form
    265,509.56/398,342.16 = 78,525.92/x
  3. Step 3: Cross multiply
    265,509.56x = 398,342.16 × 78,525.92
  4. Step 4: Simplify right side
    265,509.56x = 31,280,184,588.79
  5. Step 5: Solve for x
    x = 31,280,184,588.79/265,509.56
  6. Step 6: Final answer
    x = 117,811.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.