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Finding the Fourth Proportional to 223,114.68, 307,687.23 and 146,498.63

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Solution

The fourth proportional to 223,114.68, 307,687.23 and 146,498.63 is: 202,029.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,114.68 : 307,687.23 = 146,498.63 : x
  2. Step 2: Convert to fraction form
    223,114.68/307,687.23 = 146,498.63/x
  3. Step 3: Cross multiply
    223,114.68x = 307,687.23 × 146,498.63
  4. Step 4: Simplify right side
    223,114.68x = 45,075,756,125.06
  5. Step 5: Solve for x
    x = 45,075,756,125.06/223,114.68
  6. Step 6: Final answer
    x = 202,029.54

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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.