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Finding the Fourth Proportional to 147,152, 203,069.76 and 80,084.48

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Solution

The fourth proportional to 147,152, 203,069.76 and 80,084.48 is: 110,516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,152 : 203,069.76 = 80,084.48 : x
  2. Step 2: Convert to fraction form
    147,152/203,069.76 = 80,084.48/x
  3. Step 3: Cross multiply
    147,152x = 203,069.76 × 80,084.48
  4. Step 4: Simplify right side
    147,152x = 16,262,736,133.32
  5. Step 5: Solve for x
    x = 16,262,736,133.32/147,152
  6. Step 6: Final answer
    x = 110,516.58

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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.