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Finding the Fourth Proportional to 176,245.54, 264,378.47 and 49,875.21

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Solution

The fourth proportional to 176,245.54, 264,378.47 and 49,875.21 is: 74,815.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,245.54 : 264,378.47 = 49,875.21 : x
  2. Step 2: Convert to fraction form
    176,245.54/264,378.47 = 49,875.21/x
  3. Step 3: Cross multiply
    176,245.54x = 264,378.47 × 49,875.21
  4. Step 4: Simplify right side
    176,245.54x = 13,185,931,461.35
  5. Step 5: Solve for x
    x = 13,185,931,461.35/176,245.54
  6. Step 6: Final answer
    x = 74,815.69

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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.