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Finding the Fourth Proportional to 265,118, 365,862.84 and 145,886

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Solution

The fourth proportional to 265,118, 365,862.84 and 145,886 is: 201,322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,118 : 365,862.84 = 145,886 : x
  2. Step 2: Convert to fraction form
    265,118/365,862.84 = 145,886/x
  3. Step 3: Cross multiply
    265,118x = 365,862.84 × 145,886
  4. Step 4: Simplify right side
    265,118x = 53,374,266,276.24
  5. Step 5: Solve for x
    x = 53,374,266,276.24/265,118
  6. Step 6: Final answer
    x = 201,322.68

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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.