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Finding the Fourth Proportional to 475,724.10, 713,582.10 and 120,733.11

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Solution

The fourth proportional to 475,724.10, 713,582.10 and 120,733.11 is: 181,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,724.10 : 713,582.10 = 120,733.11 : x
  2. Step 2: Convert to fraction form
    475,724.10/713,582.10 = 120,733.11/x
  3. Step 3: Cross multiply
    475,724.10x = 713,582.10 × 120,733.11
  4. Step 4: Simplify right side
    475,724.10x = 86,152,986,173.33
  5. Step 5: Solve for x
    x = 86,152,986,173.33/475,724.10
  6. Step 6: Final answer
    x = 181,098.64

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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.