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Finding the Fourth Proportional to 188,583.84, 260,368.56 and 117,068.94

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Solution

The fourth proportional to 188,583.84, 260,368.56 and 117,068.94 is: 161,631.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,583.84 : 260,368.56 = 117,068.94 : x
  2. Step 2: Convert to fraction form
    188,583.84/260,368.56 = 117,068.94/x
  3. Step 3: Cross multiply
    188,583.84x = 260,368.56 × 117,068.94
  4. Step 4: Simplify right side
    188,583.84x = 30,481,071,328.53
  5. Step 5: Solve for x
    x = 30,481,071,328.53/188,583.84
  6. Step 6: Final answer
    x = 161,631.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.