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Finding the Fourth Proportional to 255,214.64, 382,585.08 and 112,984.04

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Solution

The fourth proportional to 255,214.64, 382,585.08 and 112,984.04 is: 169,371.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,214.64 : 382,585.08 = 112,984.04 : x
  2. Step 2: Convert to fraction form
    255,214.64/382,585.08 = 112,984.04/x
  3. Step 3: Cross multiply
    255,214.64x = 382,585.08 × 112,984.04
  4. Step 4: Simplify right side
    255,214.64x = 43,226,007,982.12
  5. Step 5: Solve for x
    x = 43,226,007,982.12/255,214.64
  6. Step 6: Final answer
    x = 169,371.19

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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.