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Finding the Fourth Proportional to 152,809.30, 210,874.98 and 84,826.82

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Solution

The fourth proportional to 152,809.30, 210,874.98 and 84,826.82 is: 117,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,809.30 : 210,874.98 = 84,826.82 : x
  2. Step 2: Convert to fraction form
    152,809.30/210,874.98 = 84,826.82/x
  3. Step 3: Cross multiply
    152,809.30x = 210,874.98 × 84,826.82
  4. Step 4: Simplify right side
    152,809.30x = 17,887,853,970.96
  5. Step 5: Solve for x
    x = 17,887,853,970.96/152,809.30
  6. Step 6: Final answer
    x = 117,059.98

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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.