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Finding the Fourth Proportional to 265,814.72, 398,653.62 and 78,782.48

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Solution

The fourth proportional to 265,814.72, 398,653.62 and 78,782.48 is: 118,153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,814.72 : 398,653.62 = 78,782.48 : x
  2. Step 2: Convert to fraction form
    265,814.72/398,653.62 = 78,782.48/x
  3. Step 3: Cross multiply
    265,814.72x = 398,653.62 × 78,782.48
  4. Step 4: Simplify right side
    265,814.72x = 31,406,920,844.58
  5. Step 5: Solve for x
    x = 31,406,920,844.58/265,814.72
  6. Step 6: Final answer
    x = 118,153.43

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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.