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Finding the Fourth Proportional to 233,101.76, 349,652.66 and 73,189.67

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Solution

The fourth proportional to 233,101.76, 349,652.66 and 73,189.67 is: 109,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,101.76 : 349,652.66 = 73,189.67 : x
  2. Step 2: Convert to fraction form
    233,101.76/349,652.66 = 73,189.67/x
  3. Step 3: Cross multiply
    233,101.76x = 349,652.66 × 73,189.67
  4. Step 4: Simplify right side
    233,101.76x = 25,590,960,685.81
  5. Step 5: Solve for x
    x = 25,590,960,685.81/233,101.76
  6. Step 6: Final answer
    x = 109,784.50

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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.