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Finding the Fourth Proportional to 242,047.83, 334,024.15 and 133,149.82

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Solution

The fourth proportional to 242,047.83, 334,024.15 and 133,149.82 is: 183,745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,047.83 : 334,024.15 = 133,149.82 : x
  2. Step 2: Convert to fraction form
    242,047.83/334,024.15 = 133,149.82/x
  3. Step 3: Cross multiply
    242,047.83x = 334,024.15 × 133,149.82
  4. Step 4: Simplify right side
    242,047.83x = 44,475,254,779.53
  5. Step 5: Solve for x
    x = 44,475,254,779.53/242,047.83
  6. Step 6: Final answer
    x = 183,745.73

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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.