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Finding the Fourth Proportional to 200,492.04, 300,793.50 and 178,459.32

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Solution

The fourth proportional to 200,492.04, 300,793.50 and 178,459.32 is: 267,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,492.04 : 300,793.50 = 178,459.32 : x
  2. Step 2: Convert to fraction form
    200,492.04/300,793.50 = 178,459.32/x
  3. Step 3: Cross multiply
    200,492.04x = 300,793.50 × 178,459.32
  4. Step 4: Simplify right side
    200,492.04x = 53,679,403,470.42
  5. Step 5: Solve for x
    x = 53,679,403,470.42/200,492.04
  6. Step 6: Final answer
    x = 267,738.33

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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.