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Finding the Fourth Proportional to 262,959.84, 362,784.60 and 160,903.44

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Solution

The fourth proportional to 262,959.84, 362,784.60 and 160,903.44 is: 221,985.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,959.84 : 362,784.60 = 160,903.44 : x
  2. Step 2: Convert to fraction form
    262,959.84/362,784.60 = 160,903.44/x
  3. Step 3: Cross multiply
    262,959.84x = 362,784.60 × 160,903.44
  4. Step 4: Simplify right side
    262,959.84x = 58,373,290,119.02
  5. Step 5: Solve for x
    x = 58,373,290,119.02/262,959.84
  6. Step 6: Final answer
    x = 221,985.57

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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.