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Finding the Fourth Proportional to 152,716.50, 210,748.47 and 84,743.82

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Solution

The fourth proportional to 152,716.50, 210,748.47 and 84,743.82 is: 116,946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,716.50 : 210,748.47 = 84,743.82 : x
  2. Step 2: Convert to fraction form
    152,716.50/210,748.47 = 84,743.82/x
  3. Step 3: Cross multiply
    152,716.50x = 210,748.47 × 84,743.82
  4. Step 4: Simplify right side
    152,716.50x = 17,859,630,406.96
  5. Step 5: Solve for x
    x = 17,859,630,406.96/152,716.50
  6. Step 6: Final answer
    x = 116,946.31

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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.