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Finding the Fourth Proportional to 201,205.10, 301,807.65 and 130,346.30

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Solution

The fourth proportional to 201,205.10, 301,807.65 and 130,346.30 is: 195,519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,205.10 : 301,807.65 = 130,346.30 : x
  2. Step 2: Convert to fraction form
    201,205.10/301,807.65 = 130,346.30/x
  3. Step 3: Cross multiply
    201,205.10x = 301,807.65 × 130,346.30
  4. Step 4: Simplify right side
    201,205.10x = 39,339,510,489.20
  5. Step 5: Solve for x
    x = 39,339,510,489.20/201,205.10
  6. Step 6: Final answer
    x = 195,519.45

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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.