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Finding the Fourth Proportional to 228,639.93, 342,860.57 and 122,000.10

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Solution

The fourth proportional to 228,639.93, 342,860.57 and 122,000.10 is: 182,947.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,639.93 : 342,860.57 = 122,000.10 : x
  2. Step 2: Convert to fraction form
    228,639.93/342,860.57 = 122,000.10/x
  3. Step 3: Cross multiply
    228,639.93x = 342,860.57 × 122,000.10
  4. Step 4: Simplify right side
    228,639.93x = 41,829,023,216.06
  5. Step 5: Solve for x
    x = 41,829,023,216.06/228,639.93
  6. Step 6: Final answer
    x = 182,947.15

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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.