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Finding the Fourth Proportional to 265,737.50, 366,717.75 and 146,505.50

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Solution

The fourth proportional to 265,737.50, 366,717.75 and 146,505.50 is: 202,177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,737.50 : 366,717.75 = 146,505.50 : x
  2. Step 2: Convert to fraction form
    265,737.50/366,717.75 = 146,505.50/x
  3. Step 3: Cross multiply
    265,737.50x = 366,717.75 × 146,505.50
  4. Step 4: Simplify right side
    265,737.50x = 53,726,167,322.63
  5. Step 5: Solve for x
    x = 53,726,167,322.63/265,737.50
  6. Step 6: Final answer
    x = 202,177.59

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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.