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Finding the Fourth Proportional to 212,287.76, 318,316.26 and 105,437.30

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Solution

The fourth proportional to 212,287.76, 318,316.26 and 105,437.30 is: 158,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,287.76 : 318,316.26 = 105,437.30 : x
  2. Step 2: Convert to fraction form
    212,287.76/318,316.26 = 105,437.30/x
  3. Step 3: Cross multiply
    212,287.76x = 318,316.26 × 105,437.30
  4. Step 4: Simplify right side
    212,287.76x = 33,562,407,000.50
  5. Step 5: Solve for x
    x = 33,562,407,000.50/212,287.76
  6. Step 6: Final answer
    x = 158,098.64

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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.