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Finding the Fourth Proportional to 153,840.06, 212,299.17 and 86,772.06

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Solution

The fourth proportional to 153,840.06, 212,299.17 and 86,772.06 is: 119,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,840.06 : 212,299.17 = 86,772.06 : x
  2. Step 2: Convert to fraction form
    153,840.06/212,299.17 = 86,772.06/x
  3. Step 3: Cross multiply
    153,840.06x = 212,299.17 × 86,772.06
  4. Step 4: Simplify right side
    153,840.06x = 18,421,636,317.19
  5. Step 5: Solve for x
    x = 18,421,636,317.19/153,840.06
  6. Step 6: Final answer
    x = 119,745.38

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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.