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Finding the Fourth Proportional to 142,009.39, 195,973.59 and 78,349.06

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Solution

The fourth proportional to 142,009.39, 195,973.59 and 78,349.06 is: 108,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,009.39 : 195,973.59 = 78,349.06 : x
  2. Step 2: Convert to fraction form
    142,009.39/195,973.59 = 78,349.06/x
  3. Step 3: Cross multiply
    142,009.39x = 195,973.59 × 78,349.06
  4. Step 4: Simplify right side
    142,009.39x = 15,354,346,561.33
  5. Step 5: Solve for x
    x = 15,354,346,561.33/142,009.39
  6. Step 6: Final answer
    x = 108,122.05

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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.