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Finding the Fourth Proportional to 153,986.82, 212,495.82 and 96,657.06

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Solution

The fourth proportional to 153,986.82, 212,495.82 and 96,657.06 is: 133,382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,986.82 : 212,495.82 = 96,657.06 : x
  2. Step 2: Convert to fraction form
    153,986.82/212,495.82 = 96,657.06/x
  3. Step 3: Cross multiply
    153,986.82x = 212,495.82 × 96,657.06
  4. Step 4: Simplify right side
    153,986.82x = 20,539,221,223.49
  5. Step 5: Solve for x
    x = 20,539,221,223.49/153,986.82
  6. Step 6: Final answer
    x = 133,382.98

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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.