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Finding the Fourth Proportional to 212,656.40, 319,459.80 and 177,664.40

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Solution

The fourth proportional to 212,656.40, 319,459.80 and 177,664.40 is: 266,893.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,656.40 : 319,459.80 = 177,664.40 : x
  2. Step 2: Convert to fraction form
    212,656.40/319,459.80 = 177,664.40/x
  3. Step 3: Cross multiply
    212,656.40x = 319,459.80 × 177,664.40
  4. Step 4: Simplify right side
    212,656.40x = 56,756,633,691.12
  5. Step 5: Solve for x
    x = 56,756,633,691.12/212,656.40
  6. Step 6: Final answer
    x = 266,893.61

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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.