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Finding the Fourth Proportional to 210,098.79, 289,929.78 and 119,464.65

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Solution

The fourth proportional to 210,098.79, 289,929.78 and 119,464.65 is: 164,857.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,098.79 : 289,929.78 = 119,464.65 : x
  2. Step 2: Convert to fraction form
    210,098.79/289,929.78 = 119,464.65/x
  3. Step 3: Cross multiply
    210,098.79x = 289,929.78 × 119,464.65
  4. Step 4: Simplify right side
    210,098.79x = 34,636,359,692.28
  5. Step 5: Solve for x
    x = 34,636,359,692.28/210,098.79
  6. Step 6: Final answer
    x = 164,857.49

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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.