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Finding the Fourth Proportional to 153,575.64, 211,938.30 and 84,667.32

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Solution

The fourth proportional to 153,575.64, 211,938.30 and 84,667.32 is: 116,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,575.64 : 211,938.30 = 84,667.32 : x
  2. Step 2: Convert to fraction form
    153,575.64/211,938.30 = 84,667.32/x
  3. Step 3: Cross multiply
    153,575.64x = 211,938.30 × 84,667.32
  4. Step 4: Simplify right side
    153,575.64x = 17,944,247,866.36
  5. Step 5: Solve for x
    x = 17,944,247,866.36/153,575.64
  6. Step 6: Final answer
    x = 116,843.06

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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.