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Finding the Fourth Proportional to 265,878.50, 366,912.36 and 146,646.50

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Solution

The fourth proportional to 265,878.50, 366,912.36 and 146,646.50 is: 202,372.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,878.50 : 366,912.36 = 146,646.50 : x
  2. Step 2: Convert to fraction form
    265,878.50/366,912.36 = 146,646.50/x
  3. Step 3: Cross multiply
    265,878.50x = 366,912.36 × 146,646.50
  4. Step 4: Simplify right side
    265,878.50x = 53,806,413,400.74
  5. Step 5: Solve for x
    x = 53,806,413,400.74/265,878.50
  6. Step 6: Final answer
    x = 202,372.19

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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.