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Finding the Fourth Proportional to 171,075, 256,613.40 and 46,416

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Solution

The fourth proportional to 171,075, 256,613.40 and 46,416 is: 69,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,075 : 256,613.40 = 46,416 : x
  2. Step 2: Convert to fraction form
    171,075/256,613.40 = 46,416/x
  3. Step 3: Cross multiply
    171,075x = 256,613.40 × 46,416
  4. Step 4: Simplify right side
    171,075x = 11,910,967,574.40
  5. Step 5: Solve for x
    x = 11,910,967,574.40/171,075
  6. Step 6: Final answer
    x = 69,624.24

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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.