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Finding the Fourth Proportional to 230,564.63, 345,898.04 and 70,662.66

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Solution

The fourth proportional to 230,564.63, 345,898.04 and 70,662.66 is: 106,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,564.63 : 345,898.04 = 70,662.66 : x
  2. Step 2: Convert to fraction form
    230,564.63/345,898.04 = 70,662.66/x
  3. Step 3: Cross multiply
    230,564.63x = 345,898.04 × 70,662.66
  4. Step 4: Simplify right side
    230,564.63x = 24,442,075,241.87
  5. Step 5: Solve for x
    x = 24,442,075,241.87/230,564.63
  6. Step 6: Final answer
    x = 106,009.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.