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Finding the Fourth Proportional to 102,507.12, 141,461.64 and 57,186

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Solution

The fourth proportional to 102,507.12, 141,461.64 and 57,186 is: 78,917.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,507.12 : 141,461.64 = 57,186 : x
  2. Step 2: Convert to fraction form
    102,507.12/141,461.64 = 57,186/x
  3. Step 3: Cross multiply
    102,507.12x = 141,461.64 × 57,186
  4. Step 4: Simplify right side
    102,507.12x = 8,089,625,345.04
  5. Step 5: Solve for x
    x = 8,089,625,345.04/102,507.12
  6. Step 6: Final answer
    x = 78,917.69

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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.