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Finding the Fourth Proportional to 290,189.60, 435,357.84 and 140,501.60

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Solution

The fourth proportional to 290,189.60, 435,357.84 and 140,501.60 is: 210,787.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,189.60 : 435,357.84 = 140,501.60 : x
  2. Step 2: Convert to fraction form
    290,189.60/435,357.84 = 140,501.60/x
  3. Step 3: Cross multiply
    290,189.60x = 435,357.84 × 140,501.60
  4. Step 4: Simplify right side
    290,189.60x = 61,168,473,092.54
  5. Step 5: Solve for x
    x = 61,168,473,092.54/290,189.60
  6. Step 6: Final answer
    x = 210,787.96

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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.