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Finding the Fourth Proportional to 153,313.78, 211,574.73 and 86,245.78

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Solution

The fourth proportional to 153,313.78, 211,574.73 and 86,245.78 is: 119,020.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,313.78 : 211,574.73 = 86,245.78 : x
  2. Step 2: Convert to fraction form
    153,313.78/211,574.73 = 86,245.78/x
  3. Step 3: Cross multiply
    153,313.78x = 211,574.73 × 86,245.78
  4. Step 4: Simplify right side
    153,313.78x = 18,247,427,617.14
  5. Step 5: Solve for x
    x = 18,247,427,617.14/153,313.78
  6. Step 6: Final answer
    x = 119,020.14

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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.