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Finding the Fourth Proportional to 162,902.75, 224,802.14 and 94,915.46

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Solution

The fourth proportional to 162,902.75, 224,802.14 and 94,915.46 is: 130,981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,902.75 : 224,802.14 = 94,915.46 : x
  2. Step 2: Convert to fraction form
    162,902.75/224,802.14 = 94,915.46/x
  3. Step 3: Cross multiply
    162,902.75x = 224,802.14 × 94,915.46
  4. Step 4: Simplify right side
    162,902.75x = 21,337,198,614.51
  5. Step 5: Solve for x
    x = 21,337,198,614.51/162,902.75
  6. Step 6: Final answer
    x = 130,981.21

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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.