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Finding the Fourth Proportional to 107,842.60, 161,763.90 and 90,735.40

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Solution

The fourth proportional to 107,842.60, 161,763.90 and 90,735.40 is: 136,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,842.60 : 161,763.90 = 90,735.40 : x
  2. Step 2: Convert to fraction form
    107,842.60/161,763.90 = 90,735.40/x
  3. Step 3: Cross multiply
    107,842.60x = 161,763.90 × 90,735.40
  4. Step 4: Simplify right side
    107,842.60x = 14,677,712,172.06
  5. Step 5: Solve for x
    x = 14,677,712,172.06/107,842.60
  6. Step 6: Final answer
    x = 136,103.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.