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Finding the Fourth Proportional to 204,857.60, 307,516.80 and 158,316.80

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Solution

The fourth proportional to 204,857.60, 307,516.80 and 158,316.80 is: 237,653.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,857.60 : 307,516.80 = 158,316.80 : x
  2. Step 2: Convert to fraction form
    204,857.60/307,516.80 = 158,316.80/x
  3. Step 3: Cross multiply
    204,857.60x = 307,516.80 × 158,316.80
  4. Step 4: Simplify right side
    204,857.60x = 48,685,075,722.24
  5. Step 5: Solve for x
    x = 48,685,075,722.24/204,857.60
  6. Step 6: Final answer
    x = 237,653.26

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1.5x scale

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.