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Finding the Fourth Proportional to 185,893.84, 256,555.38 and 110,442.40

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Solution

The fourth proportional to 185,893.84, 256,555.38 and 110,442.40 is: 152,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,893.84 : 256,555.38 = 110,442.40 : x
  2. Step 2: Convert to fraction form
    185,893.84/256,555.38 = 110,442.40/x
  3. Step 3: Cross multiply
    185,893.84x = 256,555.38 × 110,442.40
  4. Step 4: Simplify right side
    185,893.84x = 28,334,591,900.11
  5. Step 5: Solve for x
    x = 28,334,591,900.11/185,893.84
  6. Step 6: Final answer
    x = 152,423.51

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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.