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Finding the Fourth Proportional to 116,277, 174,441.50 and 42,405

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Solution

The fourth proportional to 116,277, 174,441.50 and 42,405 is: 63,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,277 : 174,441.50 = 42,405 : x
  2. Step 2: Convert to fraction form
    116,277/174,441.50 = 42,405/x
  3. Step 3: Cross multiply
    116,277x = 174,441.50 × 42,405
  4. Step 4: Simplify right side
    116,277x = 7,397,191,807.50
  5. Step 5: Solve for x
    x = 7,397,191,807.50/116,277
  6. Step 6: Final answer
    x = 63,616.98

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Why These Related Problems?

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