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Finding the Fourth Proportional to 210,142.65, 290,004.99 and 119,506.89

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Solution

The fourth proportional to 210,142.65, 290,004.99 and 119,506.89 is: 164,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,142.65 : 290,004.99 = 119,506.89 : x
  2. Step 2: Convert to fraction form
    210,142.65/290,004.99 = 119,506.89/x
  3. Step 3: Cross multiply
    210,142.65x = 290,004.99 × 119,506.89
  4. Step 4: Simplify right side
    210,142.65x = 34,657,594,439.38
  5. Step 5: Solve for x
    x = 34,657,594,439.38/210,142.65
  6. Step 6: Final answer
    x = 164,924.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.