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Finding the Fourth Proportional to 147,152, 203,055.72 and 82,606.48

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Solution

The fourth proportional to 147,152, 203,055.72 and 82,606.48 is: 113,989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,152 : 203,055.72 = 82,606.48 : x
  2. Step 2: Convert to fraction form
    147,152/203,055.72 = 82,606.48/x
  3. Step 3: Cross multiply
    147,152x = 203,055.72 × 82,606.48
  4. Step 4: Simplify right side
    147,152x = 16,773,718,273.07
  5. Step 5: Solve for x
    x = 16,773,718,273.07/147,152
  6. Step 6: Final answer
    x = 113,989.06

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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.