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Finding the Fourth Proportional to 233,842.68, 350,768.34 and 76,070.52

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Solution

The fourth proportional to 233,842.68, 350,768.34 and 76,070.52 is: 114,107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,842.68 : 350,768.34 = 76,070.52 : x
  2. Step 2: Convert to fraction form
    233,842.68/350,768.34 = 76,070.52/x
  3. Step 3: Cross multiply
    233,842.68x = 350,768.34 × 76,070.52
  4. Step 4: Simplify right side
    233,842.68x = 26,683,130,023.34
  5. Step 5: Solve for x
    x = 26,683,130,023.34/233,842.68
  6. Step 6: Final answer
    x = 114,107.19

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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.