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Finding the Fourth Proportional to 301,075.48, 415,465.50 and 166,939.48

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Solution

The fourth proportional to 301,075.48, 415,465.50 and 166,939.48 is: 230,366.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,075.48 : 415,465.50 = 166,939.48 : x
  2. Step 2: Convert to fraction form
    301,075.48/415,465.50 = 166,939.48/x
  3. Step 3: Cross multiply
    301,075.48x = 415,465.50 × 166,939.48
  4. Step 4: Simplify right side
    301,075.48x = 69,357,594,527.94
  5. Step 5: Solve for x
    x = 69,357,594,527.94/301,075.48
  6. Step 6: Final answer
    x = 230,366.13

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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.