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Finding the Fourth Proportional to 159,101.85, 239,090.20 and 148,699.02

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Solution

The fourth proportional to 159,101.85, 239,090.20 and 148,699.02 is: 223,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,101.85 : 239,090.20 = 148,699.02 : x
  2. Step 2: Convert to fraction form
    159,101.85/239,090.20 = 148,699.02/x
  3. Step 3: Cross multiply
    159,101.85x = 239,090.20 × 148,699.02
  4. Step 4: Simplify right side
    159,101.85x = 35,552,478,956.44
  5. Step 5: Solve for x
    x = 35,552,478,956.44/159,101.85
  6. Step 6: Final answer
    x = 223,457.35

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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.