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Finding the Fourth Proportional to 176,133, 264,144.06 and 57,776.82

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Solution

The fourth proportional to 176,133, 264,144.06 and 57,776.82 is: 86,647.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,133 : 264,144.06 = 57,776.82 : x
  2. Step 2: Convert to fraction form
    176,133/264,144.06 = 57,776.82/x
  3. Step 3: Cross multiply
    176,133x = 264,144.06 × 57,776.82
  4. Step 4: Simplify right side
    176,133x = 15,261,403,808.69
  5. Step 5: Solve for x
    x = 15,261,403,808.69/176,133
  6. Step 6: Final answer
    x = 86,647.04

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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.