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Finding the Fourth Proportional to 153,467.16, 211,814.09 and 86,399.16

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Solution

The fourth proportional to 153,467.16, 211,814.09 and 86,399.16 is: 119,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,467.16 : 211,814.09 = 86,399.16 : x
  2. Step 2: Convert to fraction form
    153,467.16/211,814.09 = 86,399.16/x
  3. Step 3: Cross multiply
    153,467.16x = 211,814.09 × 86,399.16
  4. Step 4: Simplify right side
    153,467.16x = 18,300,558,549.86
  5. Step 5: Solve for x
    x = 18,300,558,549.86/153,467.16
  6. Step 6: Final answer
    x = 119,247.39

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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.