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Finding the Fourth Proportional to 147,696, 221,636.16 and 60,144

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Solution

The fourth proportional to 147,696, 221,636.16 and 60,144 is: 90,253.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,696 : 221,636.16 = 60,144 : x
  2. Step 2: Convert to fraction form
    147,696/221,636.16 = 60,144/x
  3. Step 3: Cross multiply
    147,696x = 221,636.16 × 60,144
  4. Step 4: Simplify right side
    147,696x = 13,330,085,207.04
  5. Step 5: Solve for x
    x = 13,330,085,207.04/147,696
  6. Step 6: Final answer
    x = 90,253.53

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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.