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Finding the Fourth Proportional to 183,502, 275,299.24 and 52,174

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Solution

The fourth proportional to 183,502, 275,299.24 and 52,174 is: 78,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,502 : 275,299.24 = 52,174 : x
  2. Step 2: Convert to fraction form
    183,502/275,299.24 = 52,174/x
  3. Step 3: Cross multiply
    183,502x = 275,299.24 × 52,174
  4. Step 4: Simplify right side
    183,502x = 14,363,462,547.76
  5. Step 5: Solve for x
    x = 14,363,462,547.76/183,502
  6. Step 6: Final answer
    x = 78,274.15

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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.