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Finding the Fourth Proportional to 153,362.36, 211,644.80 and 83,516.32

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Solution

The fourth proportional to 153,362.36, 211,644.80 and 83,516.32 is: 115,255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,362.36 : 211,644.80 = 83,516.32 : x
  2. Step 2: Convert to fraction form
    153,362.36/211,644.80 = 83,516.32/x
  3. Step 3: Cross multiply
    153,362.36x = 211,644.80 × 83,516.32
  4. Step 4: Simplify right side
    153,362.36x = 17,675,794,843.14
  5. Step 5: Solve for x
    x = 17,675,794,843.14/153,362.36
  6. Step 6: Final answer
    x = 115,255.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.