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Finding the Fourth Proportional to 212,775.24, 319,128.30 and 100,455.24

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Solution

The fourth proportional to 212,775.24, 319,128.30 and 100,455.24 is: 150,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,775.24 : 319,128.30 = 100,455.24 : x
  2. Step 2: Convert to fraction form
    212,775.24/319,128.30 = 100,455.24/x
  3. Step 3: Cross multiply
    212,775.24x = 319,128.30 × 100,455.24
  4. Step 4: Simplify right side
    212,775.24x = 32,058,109,967.29
  5. Step 5: Solve for x
    x = 32,058,109,967.29/212,775.24
  6. Step 6: Final answer
    x = 150,666.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.