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Finding the Fourth Proportional to 176,139, 264,153 and 57,782.76

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Solution

The fourth proportional to 176,139, 264,153 and 57,782.76 is: 86,655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,139 : 264,153 = 57,782.76 : x
  2. Step 2: Convert to fraction form
    176,139/264,153 = 57,782.76/x
  3. Step 3: Cross multiply
    176,139x = 264,153 × 57,782.76
  4. Step 4: Simplify right side
    176,139x = 15,263,489,402.28
  5. Step 5: Solve for x
    x = 15,263,489,402.28/176,139
  6. Step 6: Final answer
    x = 86,655.93

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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.