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Finding the Fourth Proportional to 262,878.89, 362,775.15 and 148,135.53

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Solution

The fourth proportional to 262,878.89, 362,775.15 and 148,135.53 is: 204,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,878.89 : 362,775.15 = 148,135.53 : x
  2. Step 2: Convert to fraction form
    262,878.89/362,775.15 = 148,135.53/x
  3. Step 3: Cross multiply
    262,878.89x = 362,775.15 × 148,135.53
  4. Step 4: Simplify right side
    262,878.89x = 53,739,889,116.08
  5. Step 5: Solve for x
    x = 53,739,889,116.08/262,878.89
  6. Step 6: Final answer
    x = 204,428.32

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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.