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Finding the Fourth Proportional to 153,632.25, 212,013.39 and 85,653.51

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Solution

The fourth proportional to 153,632.25, 212,013.39 and 85,653.51 is: 118,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,632.25 : 212,013.39 = 85,653.51 : x
  2. Step 2: Convert to fraction form
    153,632.25/212,013.39 = 85,653.51/x
  3. Step 3: Cross multiply
    153,632.25x = 212,013.39 × 85,653.51
  4. Step 4: Simplify right side
    153,632.25x = 18,159,691,020.50
  5. Step 5: Solve for x
    x = 18,159,691,020.50/153,632.25
  6. Step 6: Final answer
    x = 118,202.34

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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.