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Finding the Fourth Proportional to 150,077.84, 224,954.76 and 97,525.04

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Solution

The fourth proportional to 150,077.84, 224,954.76 and 97,525.04 is: 146,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,077.84 : 224,954.76 = 97,525.04 : x
  2. Step 2: Convert to fraction form
    150,077.84/224,954.76 = 97,525.04/x
  3. Step 3: Cross multiply
    150,077.84x = 224,954.76 × 97,525.04
  4. Step 4: Simplify right side
    150,077.84x = 21,938,721,967.19
  5. Step 5: Solve for x
    x = 21,938,721,967.19/150,077.84
  6. Step 6: Final answer
    x = 146,182.29

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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.