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Finding the Fourth Proportional to 176,184.60, 264,305.70 and 57,823.80

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Solution

The fourth proportional to 176,184.60, 264,305.70 and 57,823.80 is: 86,745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,184.60 : 264,305.70 = 57,823.80 : x
  2. Step 2: Convert to fraction form
    176,184.60/264,305.70 = 57,823.80/x
  3. Step 3: Cross multiply
    176,184.60x = 264,305.70 × 57,823.80
  4. Step 4: Simplify right side
    176,184.60x = 15,283,159,935.66
  5. Step 5: Solve for x
    x = 15,283,159,935.66/176,184.60
  6. Step 6: Final answer
    x = 86,745.15

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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.