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Finding the Fourth Proportional to 181,256.40, 271,884.60 and 106,412.40

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Solution

The fourth proportional to 181,256.40, 271,884.60 and 106,412.40 is: 159,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,256.40 : 271,884.60 = 106,412.40 : x
  2. Step 2: Convert to fraction form
    181,256.40/271,884.60 = 106,412.40/x
  3. Step 3: Cross multiply
    181,256.40x = 271,884.60 × 106,412.40
  4. Step 4: Simplify right side
    181,256.40x = 28,931,892,809.04
  5. Step 5: Solve for x
    x = 28,931,892,809.04/181,256.40
  6. Step 6: Final answer
    x = 159,618.60

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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.