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Finding the Fourth Proportional to 145,953.53, 218,927.51 and 51,157.41

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Solution

The fourth proportional to 145,953.53, 218,927.51 and 51,157.41 is: 76,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,953.53 : 218,927.51 = 51,157.41 : x
  2. Step 2: Convert to fraction form
    145,953.53/218,927.51 = 51,157.41/x
  3. Step 3: Cross multiply
    145,953.53x = 218,927.51 × 51,157.41
  4. Step 4: Simplify right side
    145,953.53x = 11,199,763,504.42
  5. Step 5: Solve for x
    x = 11,199,763,504.42/145,953.53
  6. Step 6: Final answer
    x = 76,735.13

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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.