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Finding the Fourth Proportional to 265,378.76, 366,206.10 and 146,146.76

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Solution

The fourth proportional to 265,378.76, 366,206.10 and 146,146.76 is: 201,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,378.76 : 366,206.10 = 146,146.76 : x
  2. Step 2: Convert to fraction form
    265,378.76/366,206.10 = 146,146.76/x
  3. Step 3: Cross multiply
    265,378.76x = 366,206.10 × 146,146.76
  4. Step 4: Simplify right side
    265,378.76x = 53,519,835,007.24
  5. Step 5: Solve for x
    x = 53,519,835,007.24/265,378.76
  6. Step 6: Final answer
    x = 201,673.39

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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.