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Finding the Fourth Proportional to 265,314.61, 366,140.74 and 144,462.53

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Solution

The fourth proportional to 265,314.61, 366,140.74 and 144,462.53 is: 199,361.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,314.61 : 366,140.74 = 144,462.53 : x
  2. Step 2: Convert to fraction form
    265,314.61/366,140.74 = 144,462.53/x
  3. Step 3: Cross multiply
    265,314.61x = 366,140.74 × 144,462.53
  4. Step 4: Simplify right side
    265,314.61x = 52,893,616,496.56
  5. Step 5: Solve for x
    x = 52,893,616,496.56/265,314.61
  6. Step 6: Final answer
    x = 199,361.87

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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.