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Finding the Fourth Proportional to 213,034.34, 319,308.71 and 133,109.21

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Solution

The fourth proportional to 213,034.34, 319,308.71 and 133,109.21 is: 199,512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,034.34 : 319,308.71 = 133,109.21 : x
  2. Step 2: Convert to fraction form
    213,034.34/319,308.71 = 133,109.21/x
  3. Step 3: Cross multiply
    213,034.34x = 319,308.71 × 133,109.21
  4. Step 4: Simplify right side
    213,034.34x = 42,502,927,872.13
  5. Step 5: Solve for x
    x = 42,502,927,872.13/213,034.34
  6. Step 6: Final answer
    x = 199,512.10

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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.