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Finding the Fourth Proportional to 131,457.60, 197,186.40 and 105,213.60

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Solution

The fourth proportional to 131,457.60, 197,186.40 and 105,213.60 is: 157,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,457.60 : 197,186.40 = 105,213.60 : x
  2. Step 2: Convert to fraction form
    131,457.60/197,186.40 = 105,213.60/x
  3. Step 3: Cross multiply
    131,457.60x = 197,186.40 × 105,213.60
  4. Step 4: Simplify right side
    131,457.60x = 20,746,691,015.04
  5. Step 5: Solve for x
    x = 20,746,691,015.04/131,457.60
  6. Step 6: Final answer
    x = 157,820.40

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