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Finding the Fourth Proportional to 253,615.66, 349,989.06 and 146,184.96

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Solution

The fourth proportional to 253,615.66, 349,989.06 and 146,184.96 is: 201,734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,615.66 : 349,989.06 = 146,184.96 : x
  2. Step 2: Convert to fraction form
    253,615.66/349,989.06 = 146,184.96/x
  3. Step 3: Cross multiply
    253,615.66x = 349,989.06 × 146,184.96
  4. Step 4: Simplify right side
    253,615.66x = 51,163,136,736.54
  5. Step 5: Solve for x
    x = 51,163,136,736.54/253,615.66
  6. Step 6: Final answer
    x = 201,734.93

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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.