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Finding the Fourth Proportional to 233,792.84, 350,132.59 and 149,291.26

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Solution

The fourth proportional to 233,792.84, 350,132.59 and 149,291.26 is: 223,581.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,792.84 : 350,132.59 = 149,291.26 : x
  2. Step 2: Convert to fraction form
    233,792.84/350,132.59 = 149,291.26/x
  3. Step 3: Cross multiply
    233,792.84x = 350,132.59 × 149,291.26
  4. Step 4: Simplify right side
    233,792.84x = 52,271,733,777.50
  5. Step 5: Solve for x
    x = 52,271,733,777.50/233,792.84
  6. Step 6: Final answer
    x = 223,581.42

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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.