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Finding the Fourth Proportional to 152,407.67, 210,324.26 and 84,425.68

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Solution

The fourth proportional to 152,407.67, 210,324.26 and 84,425.68 is: 116,508.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,407.67 : 210,324.26 = 84,425.68 : x
  2. Step 2: Convert to fraction form
    152,407.67/210,324.26 = 84,425.68/x
  3. Step 3: Cross multiply
    152,407.67x = 210,324.26 × 84,425.68
  4. Step 4: Simplify right side
    152,407.67x = 17,756,768,671.00
  5. Step 5: Solve for x
    x = 17,756,768,671.00/152,407.67
  6. Step 6: Final answer
    x = 116,508.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.