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Finding the Fourth Proportional to 153,269.12, 211,509.32 and 86,201.12

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Solution

The fourth proportional to 153,269.12, 211,509.32 and 86,201.12 is: 118,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,269.12 : 211,509.32 = 86,201.12 : x
  2. Step 2: Convert to fraction form
    153,269.12/211,509.32 = 86,201.12/x
  3. Step 3: Cross multiply
    153,269.12x = 211,509.32 × 86,201.12
  4. Step 4: Simplify right side
    153,269.12x = 18,232,340,274.44
  5. Step 5: Solve for x
    x = 18,232,340,274.44/153,269.12
  6. Step 6: Final answer
    x = 118,956.38

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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.