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Finding the Fourth Proportional to 103,081.44, 142,106.02 and 75,809.32

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Solution

The fourth proportional to 103,081.44, 142,106.02 and 75,809.32 is: 104,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,081.44 : 142,106.02 = 75,809.32 : x
  2. Step 2: Convert to fraction form
    103,081.44/142,106.02 = 75,809.32/x
  3. Step 3: Cross multiply
    103,081.44x = 142,106.02 × 75,809.32
  4. Step 4: Simplify right side
    103,081.44x = 10,772,960,412.53
  5. Step 5: Solve for x
    x = 10,772,960,412.53/103,081.44
  6. Step 6: Final answer
    x = 104,509.22

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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.