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Finding the Fourth Proportional to 265,941.30, 398,858.31 and 97,404.08

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Solution

The fourth proportional to 265,941.30, 398,858.31 and 97,404.08 is: 146,086.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,941.30 : 398,858.31 = 97,404.08 : x
  2. Step 2: Convert to fraction form
    265,941.30/398,858.31 = 97,404.08/x
  3. Step 3: Cross multiply
    265,941.30x = 398,858.31 × 97,404.08
  4. Step 4: Simplify right side
    265,941.30x = 38,850,424,741.61
  5. Step 5: Solve for x
    x = 38,850,424,741.61/265,941.30
  6. Step 6: Final answer
    x = 146,086.47

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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.