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Finding the Fourth Proportional to 114,706.36, 172,051.03 and 48,143.80

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Solution

The fourth proportional to 114,706.36, 172,051.03 and 48,143.80 is: 72,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,706.36 : 172,051.03 = 48,143.80 : x
  2. Step 2: Convert to fraction form
    114,706.36/172,051.03 = 48,143.80/x
  3. Step 3: Cross multiply
    114,706.36x = 172,051.03 × 48,143.80
  4. Step 4: Simplify right side
    114,706.36x = 8,283,190,378.11
  5. Step 5: Solve for x
    x = 8,283,190,378.11/114,706.36
  6. Step 6: Final answer
    x = 72,212.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.