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Finding the Fourth Proportional to 205,358.10, 308,048.16 and 65,127.66

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Solution

The fourth proportional to 205,358.10, 308,048.16 and 65,127.66 is: 97,694.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,358.10 : 308,048.16 = 65,127.66 : x
  2. Step 2: Convert to fraction form
    205,358.10/308,048.16 = 65,127.66/x
  3. Step 3: Cross multiply
    205,358.10x = 308,048.16 × 65,127.66
  4. Step 4: Simplify right side
    205,358.10x = 20,062,455,828.11
  5. Step 5: Solve for x
    x = 20,062,455,828.11/205,358.10
  6. Step 6: Final answer
    x = 97,694.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.