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Finding the Fourth Proportional to 137,804.34, 190,158.36 and 83,376.78

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Solution

The fourth proportional to 137,804.34, 190,158.36 and 83,376.78 is: 115,052.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,804.34 : 190,158.36 = 83,376.78 : x
  2. Step 2: Convert to fraction form
    137,804.34/190,158.36 = 83,376.78/x
  3. Step 3: Cross multiply
    137,804.34x = 190,158.36 × 83,376.78
  4. Step 4: Simplify right side
    137,804.34x = 15,854,791,746.88
  5. Step 5: Solve for x
    x = 15,854,791,746.88/137,804.34
  6. Step 6: Final answer
    x = 115,052.92

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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.