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Finding the Fourth Proportional to 145,298.22, 200,601 and 115,205.10

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Solution

The fourth proportional to 145,298.22, 200,601 and 115,205.10 is: 159,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,298.22 : 200,601 = 115,205.10 : x
  2. Step 2: Convert to fraction form
    145,298.22/200,601 = 115,205.10/x
  3. Step 3: Cross multiply
    145,298.22x = 200,601 × 115,205.10
  4. Step 4: Simplify right side
    145,298.22x = 23,110,258,265.10
  5. Step 5: Solve for x
    x = 23,110,258,265.10/145,298.22
  6. Step 6: Final answer
    x = 159,053.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.