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Finding the Fourth Proportional to 212,804.01, 319,567.58 and 142,180.49

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Solution

The fourth proportional to 212,804.01, 319,567.58 and 142,180.49 is: 213,512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,804.01 : 319,567.58 = 142,180.49 : x
  2. Step 2: Convert to fraction form
    212,804.01/319,567.58 = 142,180.49/x
  3. Step 3: Cross multiply
    212,804.01x = 319,567.58 × 142,180.49
  4. Step 4: Simplify right side
    212,804.01x = 45,436,272,803.77
  5. Step 5: Solve for x
    x = 45,436,272,803.77/212,804.01
  6. Step 6: Final answer
    x = 213,512.30

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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.