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Finding the Fourth Proportional to 137,389.47, 189,588.30 and 76,946.25

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Solution

The fourth proportional to 137,389.47, 189,588.30 and 76,946.25 is: 106,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,389.47 : 189,588.30 = 76,946.25 : x
  2. Step 2: Convert to fraction form
    137,389.47/189,588.30 = 76,946.25/x
  3. Step 3: Cross multiply
    137,389.47x = 189,588.30 × 76,946.25
  4. Step 4: Simplify right side
    137,389.47x = 14,588,109,151.28
  5. Step 5: Solve for x
    x = 14,588,109,151.28/137,389.47
  6. Step 6: Final answer
    x = 106,180.70

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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.