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Finding the Fourth Proportional to 177,122.43, 264,509.62 and 155,660.67

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Solution

The fourth proportional to 177,122.43, 264,509.62 and 155,660.67 is: 232,459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,122.43 : 264,509.62 = 155,660.67 : x
  2. Step 2: Convert to fraction form
    177,122.43/264,509.62 = 155,660.67/x
  3. Step 3: Cross multiply
    177,122.43x = 264,509.62 × 155,660.67
  4. Step 4: Simplify right side
    177,122.43x = 41,173,744,281.49
  5. Step 5: Solve for x
    x = 41,173,744,281.49/177,122.43
  6. Step 6: Final answer
    x = 232,459.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.