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Finding the Fourth Proportional to 102,258.34, 141,078.35 and 102,100.48

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Solution

The fourth proportional to 102,258.34, 141,078.35 and 102,100.48 is: 140,860.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,258.34 : 141,078.35 = 102,100.48 : x
  2. Step 2: Convert to fraction form
    102,258.34/141,078.35 = 102,100.48/x
  3. Step 3: Cross multiply
    102,258.34x = 141,078.35 × 102,100.48
  4. Step 4: Simplify right side
    102,258.34x = 14,404,167,155.16
  5. Step 5: Solve for x
    x = 14,404,167,155.16/102,258.34
  6. Step 6: Final answer
    x = 140,860.56

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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.