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Finding the Fourth Proportional to 161,930.51, 242,903.06 and 49,602.54

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Solution

The fourth proportional to 161,930.51, 242,903.06 and 49,602.54 is: 74,406.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,930.51 : 242,903.06 = 49,602.54 : x
  2. Step 2: Convert to fraction form
    161,930.51/242,903.06 = 49,602.54/x
  3. Step 3: Cross multiply
    161,930.51x = 242,903.06 × 49,602.54
  4. Step 4: Simplify right side
    161,930.51x = 12,048,608,501.76
  5. Step 5: Solve for x
    x = 12,048,608,501.76/161,930.51
  6. Step 6: Final answer
    x = 74,406.05

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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.