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Finding the Fourth Proportional to 193,005.60, 266,283.92 and 116,495.64

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Solution

The fourth proportional to 193,005.60, 266,283.92 and 116,495.64 is: 160,725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,005.60 : 266,283.92 = 116,495.64 : x
  2. Step 2: Convert to fraction form
    193,005.60/266,283.92 = 116,495.64/x
  3. Step 3: Cross multiply
    193,005.60x = 266,283.92 × 116,495.64
  4. Step 4: Simplify right side
    193,005.60x = 31,020,916,230.81
  5. Step 5: Solve for x
    x = 31,020,916,230.81/193,005.60
  6. Step 6: Final answer
    x = 160,725.47

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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.