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Finding the Fourth Proportional to 152,305.70, 210,175.02 and 84,317.90

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Solution

The fourth proportional to 152,305.70, 210,175.02 and 84,317.90 is: 116,354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,305.70 : 210,175.02 = 84,317.90 : x
  2. Step 2: Convert to fraction form
    152,305.70/210,175.02 = 84,317.90/x
  3. Step 3: Cross multiply
    152,305.70x = 210,175.02 × 84,317.90
  4. Step 4: Simplify right side
    152,305.70x = 17,721,515,267.98
  5. Step 5: Solve for x
    x = 17,721,515,267.98/152,305.70
  6. Step 6: Final answer
    x = 116,354.91

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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.