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Finding the Fourth Proportional to 176,134, 264,145.54 and 57,777.84

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Solution

The fourth proportional to 176,134, 264,145.54 and 57,777.84 is: 86,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,134 : 264,145.54 = 57,777.84 : x
  2. Step 2: Convert to fraction form
    176,134/264,145.54 = 57,777.84/x
  3. Step 3: Cross multiply
    176,134x = 264,145.54 × 57,777.84
  4. Step 4: Simplify right side
    176,134x = 15,261,758,746.83
  5. Step 5: Solve for x
    x = 15,261,758,746.83/176,134
  6. Step 6: Final answer
    x = 86,648.57

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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.