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Finding the Fourth Proportional to 98,419.14, 135,825.93 and 55,975.14

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Solution

The fourth proportional to 98,419.14, 135,825.93 and 55,975.14 is: 77,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,419.14 : 135,825.93 = 55,975.14 : x
  2. Step 2: Convert to fraction form
    98,419.14/135,825.93 = 55,975.14/x
  3. Step 3: Cross multiply
    98,419.14x = 135,825.93 × 55,975.14
  4. Step 4: Simplify right side
    98,419.14x = 7,602,875,447.38
  5. Step 5: Solve for x
    x = 7,602,875,447.38/98,419.14
  6. Step 6: Final answer
    x = 77,249.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.