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Finding the Fourth Proportional to 210,114.99, 289,946.88 and 119,458.17

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Solution

The fourth proportional to 210,114.99, 289,946.88 and 119,458.17 is: 164,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,114.99 : 289,946.88 = 119,458.17 : x
  2. Step 2: Convert to fraction form
    210,114.99/289,946.88 = 119,458.17/x
  3. Step 3: Cross multiply
    210,114.99x = 289,946.88 × 119,458.17
  4. Step 4: Simplify right side
    210,114.99x = 34,636,523,682.01
  5. Step 5: Solve for x
    x = 34,636,523,682.01/210,114.99
  6. Step 6: Final answer
    x = 164,845.56

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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.