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Finding the Fourth Proportional to 156,653.84, 234,954.84 and 51,473.72

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Solution

The fourth proportional to 156,653.84, 234,954.84 and 51,473.72 is: 77,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,653.84 : 234,954.84 = 51,473.72 : x
  2. Step 2: Convert to fraction form
    156,653.84/234,954.84 = 51,473.72/x
  3. Step 3: Cross multiply
    156,653.84x = 234,954.84 × 51,473.72
  4. Step 4: Simplify right side
    156,653.84x = 12,093,999,646.80
  5. Step 5: Solve for x
    x = 12,093,999,646.80/156,653.84
  6. Step 6: Final answer
    x = 77,202.06

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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.