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Finding the Fourth Proportional to 209,526.12, 289,136.52 and 114,032.52

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Solution

The fourth proportional to 209,526.12, 289,136.52 and 114,032.52 is: 157,359.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,526.12 : 289,136.52 = 114,032.52 : x
  2. Step 2: Convert to fraction form
    209,526.12/289,136.52 = 114,032.52/x
  3. Step 3: Cross multiply
    209,526.12x = 289,136.52 × 114,032.52
  4. Step 4: Simplify right side
    209,526.12x = 32,970,965,999.63
  5. Step 5: Solve for x
    x = 32,970,965,999.63/209,526.12
  6. Step 6: Final answer
    x = 157,359.69

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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.