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Finding the Fourth Proportional to 212,291.65, 292,963.01 and 116,804.29

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Solution

The fourth proportional to 212,291.65, 292,963.01 and 116,804.29 is: 161,190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,291.65 : 292,963.01 = 116,804.29 : x
  2. Step 2: Convert to fraction form
    212,291.65/292,963.01 = 116,804.29/x
  3. Step 3: Cross multiply
    212,291.65x = 292,963.01 × 116,804.29
  4. Step 4: Simplify right side
    212,291.65x = 34,219,336,379.31
  5. Step 5: Solve for x
    x = 34,219,336,379.31/212,291.65
  6. Step 6: Final answer
    x = 161,190.21

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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.