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Finding the Fourth Proportional to 212,492.40, 319,213.80 and 177,500.40

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Solution

The fourth proportional to 212,492.40, 319,213.80 and 177,500.40 is: 266,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,492.40 : 319,213.80 = 177,500.40 : x
  2. Step 2: Convert to fraction form
    212,492.40/319,213.80 = 177,500.40/x
  3. Step 3: Cross multiply
    212,492.40x = 319,213.80 × 177,500.40
  4. Step 4: Simplify right side
    212,492.40x = 56,660,577,185.52
  5. Step 5: Solve for x
    x = 56,660,577,185.52/212,492.40
  6. Step 6: Final answer
    x = 266,647.55

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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.