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Finding the Fourth Proportional to 295,842.16, 408,265.68 and 161,706.16

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Solution

The fourth proportional to 295,842.16, 408,265.68 and 161,706.16 is: 223,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,842.16 : 408,265.68 = 161,706.16 : x
  2. Step 2: Convert to fraction form
    295,842.16/408,265.68 = 161,706.16/x
  3. Step 3: Cross multiply
    295,842.16x = 408,265.68 × 161,706.16
  4. Step 4: Simplify right side
    295,842.16x = 66,019,075,372.59
  5. Step 5: Solve for x
    x = 66,019,075,372.59/295,842.16
  6. Step 6: Final answer
    x = 223,156.41

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1.5x scale

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.