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Finding the Fourth Proportional to 152,447.72, 210,450.98 and 107,164.52

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Solution

The fourth proportional to 152,447.72, 210,450.98 and 107,164.52 is: 147,938.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,447.72 : 210,450.98 = 107,164.52 : x
  2. Step 2: Convert to fraction form
    152,447.72/210,450.98 = 107,164.52/x
  3. Step 3: Cross multiply
    152,447.72x = 210,450.98 × 107,164.52
  4. Step 4: Simplify right side
    152,447.72x = 22,552,878,260.08
  5. Step 5: Solve for x
    x = 22,552,878,260.08/152,447.72
  6. Step 6: Final answer
    x = 147,938.44

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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.