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Finding the Fourth Proportional to 149,957.34, 224,824.90 and 90,779.02

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Solution

The fourth proportional to 149,957.34, 224,824.90 and 90,779.02 is: 136,101.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,957.34 : 224,824.90 = 90,779.02 : x
  2. Step 2: Convert to fraction form
    149,957.34/224,824.90 = 90,779.02/x
  3. Step 3: Cross multiply
    149,957.34x = 224,824.90 × 90,779.02
  4. Step 4: Simplify right side
    149,957.34x = 20,409,384,093.60
  5. Step 5: Solve for x
    x = 20,409,384,093.60/149,957.34
  6. Step 6: Final answer
    x = 136,101.27

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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.