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Finding the Fourth Proportional to 230,137.96, 317,526.22 and 148,431.64

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Solution

The fourth proportional to 230,137.96, 317,526.22 and 148,431.64 is: 204,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,137.96 : 317,526.22 = 148,431.64 : x
  2. Step 2: Convert to fraction form
    230,137.96/317,526.22 = 148,431.64/x
  3. Step 3: Cross multiply
    230,137.96x = 317,526.22 × 148,431.64
  4. Step 4: Simplify right side
    230,137.96x = 47,130,937,577.60
  5. Step 5: Solve for x
    x = 47,130,937,577.60/230,137.96
  6. Step 6: Final answer
    x = 204,794.28

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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.