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Finding the Fourth Proportional to 116,417.60, 174,642.60 and 46,280.60

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Solution

The fourth proportional to 116,417.60, 174,642.60 and 46,280.60 is: 69,427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,417.60 : 174,642.60 = 46,280.60 : x
  2. Step 2: Convert to fraction form
    116,417.60/174,642.60 = 46,280.60/x
  3. Step 3: Cross multiply
    116,417.60x = 174,642.60 × 46,280.60
  4. Step 4: Simplify right side
    116,417.60x = 8,082,564,313.56
  5. Step 5: Solve for x
    x = 8,082,564,313.56/116,417.60
  6. Step 6: Final answer
    x = 69,427.34

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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.