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Finding the Fourth Proportional to 265,447, 366,316.88 and 146,215

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Solution

The fourth proportional to 265,447, 366,316.88 and 146,215 is: 201,776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,447 : 366,316.88 = 146,215 : x
  2. Step 2: Convert to fraction form
    265,447/366,316.88 = 146,215/x
  3. Step 3: Cross multiply
    265,447x = 366,316.88 × 146,215
  4. Step 4: Simplify right side
    265,447x = 53,561,022,609.20
  5. Step 5: Solve for x
    x = 53,561,022,609.20/265,447
  6. Step 6: Final answer
    x = 201,776.71

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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.