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Finding the Fourth Proportional to 161,383.78, 242,075.26 and 49,063.51

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Solution

The fourth proportional to 161,383.78, 242,075.26 and 49,063.51 is: 73,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,383.78 : 242,075.26 = 49,063.51 : x
  2. Step 2: Convert to fraction form
    161,383.78/242,075.26 = 49,063.51/x
  3. Step 3: Cross multiply
    161,383.78x = 242,075.26 × 49,063.51
  4. Step 4: Simplify right side
    161,383.78x = 11,877,061,939.76
  5. Step 5: Solve for x
    x = 11,877,061,939.76/161,383.78
  6. Step 6: Final answer
    x = 73,595.14

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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.