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Finding the Fourth Proportional to 156,907.90, 235,361.85 and 150,784.30

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Solution

The fourth proportional to 156,907.90, 235,361.85 and 150,784.30 is: 226,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,907.90 : 235,361.85 = 150,784.30 : x
  2. Step 2: Convert to fraction form
    156,907.90/235,361.85 = 150,784.30/x
  3. Step 3: Cross multiply
    156,907.90x = 235,361.85 × 150,784.30
  4. Step 4: Simplify right side
    156,907.90x = 35,488,871,798.96
  5. Step 5: Solve for x
    x = 35,488,871,798.96/156,907.90
  6. Step 6: Final answer
    x = 226,176.45

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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.