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Finding the Fourth Proportional to 146,718, 220,077.36 and 53,223.84

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Solution

The fourth proportional to 146,718, 220,077.36 and 53,223.84 is: 79,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,718 : 220,077.36 = 53,223.84 : x
  2. Step 2: Convert to fraction form
    146,718/220,077.36 = 53,223.84/x
  3. Step 3: Cross multiply
    146,718x = 220,077.36 × 53,223.84
  4. Step 4: Simplify right side
    146,718x = 11,713,362,196.26
  5. Step 5: Solve for x
    x = 11,713,362,196.26/146,718
  6. Step 6: Final answer
    x = 79,835.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.