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Finding the Fourth Proportional to 193,352, 266,825.84 and 117,916.16

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Solution

The fourth proportional to 193,352, 266,825.84 and 117,916.16 is: 162,724.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,352 : 266,825.84 = 117,916.16 : x
  2. Step 2: Convert to fraction form
    193,352/266,825.84 = 117,916.16/x
  3. Step 3: Cross multiply
    193,352x = 266,825.84 × 117,916.16
  4. Step 4: Simplify right side
    193,352x = 31,463,078,441.57
  5. Step 5: Solve for x
    x = 31,463,078,441.57/193,352
  6. Step 6: Final answer
    x = 162,724.35

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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.