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Finding the Fourth Proportional to 153,409.60, 230,020.44 and 59,806

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Solution

The fourth proportional to 153,409.60, 230,020.44 and 59,806 is: 89,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,409.60 : 230,020.44 = 59,806 : x
  2. Step 2: Convert to fraction form
    153,409.60/230,020.44 = 59,806/x
  3. Step 3: Cross multiply
    153,409.60x = 230,020.44 × 59,806
  4. Step 4: Simplify right side
    153,409.60x = 13,756,602,434.64
  5. Step 5: Solve for x
    x = 13,756,602,434.64/153,409.60
  6. Step 6: Final answer
    x = 89,672.37

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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.