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Finding the Fourth Proportional to 289,287.36, 434,211.66 and 139,633.08

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Solution

The fourth proportional to 289,287.36, 434,211.66 and 139,633.08 is: 209,585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,287.36 : 434,211.66 = 139,633.08 : x
  2. Step 2: Convert to fraction form
    289,287.36/434,211.66 = 139,633.08/x
  3. Step 3: Cross multiply
    289,287.36x = 434,211.66 × 139,633.08
  4. Step 4: Simplify right side
    289,287.36x = 60,630,311,457.71
  5. Step 5: Solve for x
    x = 60,630,311,457.71/289,287.36
  6. Step 6: Final answer
    x = 209,585.07

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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.