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Finding the Fourth Proportional to 151,305.84, 208,697.76 and 137,823.12

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Solution

The fourth proportional to 151,305.84, 208,697.76 and 137,823.12 is: 190,100.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,305.84 : 208,697.76 = 137,823.12 : x
  2. Step 2: Convert to fraction form
    151,305.84/208,697.76 = 137,823.12/x
  3. Step 3: Cross multiply
    151,305.84x = 208,697.76 × 137,823.12
  4. Step 4: Simplify right side
    151,305.84x = 28,763,376,420.21
  5. Step 5: Solve for x
    x = 28,763,376,420.21/151,305.84
  6. Step 6: Final answer
    x = 190,100.90

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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.