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Finding the Fourth Proportional to 264,003.80, 396,005.70 and 116,547.80

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Solution

The fourth proportional to 264,003.80, 396,005.70 and 116,547.80 is: 174,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,003.80 : 396,005.70 = 116,547.80 : x
  2. Step 2: Convert to fraction form
    264,003.80/396,005.70 = 116,547.80/x
  3. Step 3: Cross multiply
    264,003.80x = 396,005.70 × 116,547.80
  4. Step 4: Simplify right side
    264,003.80x = 46,153,593,122.46
  5. Step 5: Solve for x
    x = 46,153,593,122.46/264,003.80
  6. Step 6: Final answer
    x = 174,821.70

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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.