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Finding the Fourth Proportional to 210,842.96, 316,302.84 and 100,034

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Solution

The fourth proportional to 210,842.96, 316,302.84 and 100,034 is: 150,069.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,842.96 : 316,302.84 = 100,034 : x
  2. Step 2: Convert to fraction form
    210,842.96/316,302.84 = 100,034/x
  3. Step 3: Cross multiply
    210,842.96x = 316,302.84 × 100,034
  4. Step 4: Simplify right side
    210,842.96x = 31,641,038,296.56
  5. Step 5: Solve for x
    x = 31,641,038,296.56/210,842.96
  6. Step 6: Final answer
    x = 150,069.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.