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Finding the Fourth Proportional to 152,085.60, 209,893.28 and 84,107.70

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Solution

The fourth proportional to 152,085.60, 209,893.28 and 84,107.70 is: 116,077.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,085.60 : 209,893.28 = 84,107.70 : x
  2. Step 2: Convert to fraction form
    152,085.60/209,893.28 = 84,107.70/x
  3. Step 3: Cross multiply
    152,085.60x = 209,893.28 × 84,107.70
  4. Step 4: Simplify right side
    152,085.60x = 17,653,640,605.72
  5. Step 5: Solve for x
    x = 17,653,640,605.72/152,085.60
  6. Step 6: Final answer
    x = 116,077.00

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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.