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Finding the Fourth Proportional to 212,856.40, 319,284.60 and 174,802.60

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Solution

The fourth proportional to 212,856.40, 319,284.60 and 174,802.60 is: 262,203.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,856.40 : 319,284.60 = 174,802.60 : x
  2. Step 2: Convert to fraction form
    212,856.40/319,284.60 = 174,802.60/x
  3. Step 3: Cross multiply
    212,856.40x = 319,284.60 × 174,802.60
  4. Step 4: Simplify right side
    212,856.40x = 55,811,778,219.96
  5. Step 5: Solve for x
    x = 55,811,778,219.96/212,856.40
  6. Step 6: Final answer
    x = 262,203.90

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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.