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Finding the Fourth Proportional to 116,348.54, 174,513.03 and 46,209.02

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Solution

The fourth proportional to 116,348.54, 174,513.03 and 46,209.02 is: 69,309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,348.54 : 174,513.03 = 46,209.02 : x
  2. Step 2: Convert to fraction form
    116,348.54/174,513.03 = 46,209.02/x
  3. Step 3: Cross multiply
    116,348.54x = 174,513.03 × 46,209.02
  4. Step 4: Simplify right side
    116,348.54x = 8,064,076,093.53
  5. Step 5: Solve for x
    x = 8,064,076,093.53/116,348.54
  6. Step 6: Final answer
    x = 69,309.65

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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.