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Finding the Fourth Proportional to 126,316.08, 189,404.46 and 51,417

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Solution

The fourth proportional to 126,316.08, 189,404.46 and 51,417 is: 77,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,316.08 : 189,404.46 = 51,417 : x
  2. Step 2: Convert to fraction form
    126,316.08/189,404.46 = 51,417/x
  3. Step 3: Cross multiply
    126,316.08x = 189,404.46 × 51,417
  4. Step 4: Simplify right side
    126,316.08x = 9,738,609,119.82
  5. Step 5: Solve for x
    x = 9,738,609,119.82/126,316.08
  6. Step 6: Final answer
    x = 77,097.14

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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.