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Finding the Fourth Proportional to 305,133.36, 457,704.42 and 94,758

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Solution

The fourth proportional to 305,133.36, 457,704.42 and 94,758 is: 142,138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,133.36 : 457,704.42 = 94,758 : x
  2. Step 2: Convert to fraction form
    305,133.36/457,704.42 = 94,758/x
  3. Step 3: Cross multiply
    305,133.36x = 457,704.42 × 94,758
  4. Step 4: Simplify right side
    305,133.36x = 43,371,155,430.36
  5. Step 5: Solve for x
    x = 43,371,155,430.36/305,133.36
  6. Step 6: Final answer
    x = 142,138.36

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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.