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Finding the Fourth Proportional to 152,078.42, 209,869.60 and 84,100

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Solution

The fourth proportional to 152,078.42, 209,869.60 and 84,100 is: 116,058.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,078.42 : 209,869.60 = 84,100 : x
  2. Step 2: Convert to fraction form
    152,078.42/209,869.60 = 84,100/x
  3. Step 3: Cross multiply
    152,078.42x = 209,869.60 × 84,100
  4. Step 4: Simplify right side
    152,078.42x = 17,650,033,360
  5. Step 5: Solve for x
    x = 17,650,033,360/152,078.42
  6. Step 6: Final answer
    x = 116,058.76

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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.