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Finding the Fourth Proportional to 142,007.37, 195,971.37 and 78,349.47

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Solution

The fourth proportional to 142,007.37, 195,971.37 and 78,349.47 is: 108,122.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,007.37 : 195,971.37 = 78,349.47 : x
  2. Step 2: Convert to fraction form
    142,007.37/195,971.37 = 78,349.47/x
  3. Step 3: Cross multiply
    142,007.37x = 195,971.37 × 78,349.47
  4. Step 4: Simplify right side
    142,007.37x = 15,354,251,603.07
  5. Step 5: Solve for x
    x = 15,354,251,603.07/142,007.37
  6. Step 6: Final answer
    x = 108,122.92

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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.