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Finding the Fourth Proportional to 190,258.39, 285,390.39 and 90,428.77

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Solution

The fourth proportional to 190,258.39, 285,390.39 and 90,428.77 is: 135,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,258.39 : 285,390.39 = 90,428.77 : x
  2. Step 2: Convert to fraction form
    190,258.39/285,390.39 = 90,428.77/x
  3. Step 3: Cross multiply
    190,258.39x = 285,390.39 × 90,428.77
  4. Step 4: Simplify right side
    190,258.39x = 25,807,501,937.52
  5. Step 5: Solve for x
    x = 25,807,501,937.52/190,258.39
  6. Step 6: Final answer
    x = 135,644.49

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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.