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Finding the Fourth Proportional to 407,045.70, 610,137.62 and 136,916.68

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Solution

The fourth proportional to 407,045.70, 610,137.62 and 136,916.68 is: 205,230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,045.70 : 610,137.62 = 136,916.68 : x
  2. Step 2: Convert to fraction form
    407,045.70/610,137.62 = 136,916.68/x
  3. Step 3: Cross multiply
    407,045.70x = 610,137.62 × 136,916.68
  4. Step 4: Simplify right side
    407,045.70x = 83,538,016,588.92
  5. Step 5: Solve for x
    x = 83,538,016,588.92/407,045.70
  6. Step 6: Final answer
    x = 205,230.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.