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Finding the Fourth Proportional to 213,089.60, 319,342.80 and 141,809.60

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Solution

The fourth proportional to 213,089.60, 319,342.80 and 141,809.60 is: 212,520.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,089.60 : 319,342.80 = 141,809.60 : x
  2. Step 2: Convert to fraction form
    213,089.60/319,342.80 = 141,809.60/x
  3. Step 3: Cross multiply
    213,089.60x = 319,342.80 × 141,809.60
  4. Step 4: Simplify right side
    213,089.60x = 45,285,874,730.88
  5. Step 5: Solve for x
    x = 45,285,874,730.88/213,089.60
  6. Step 6: Final answer
    x = 212,520.34

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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.