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Finding the Fourth Proportional to 174,667.12, 261,824.64 and 99,762.64

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Solution

The fourth proportional to 174,667.12, 261,824.64 and 99,762.64 is: 149,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,667.12 : 261,824.64 = 99,762.64 : x
  2. Step 2: Convert to fraction form
    174,667.12/261,824.64 = 99,762.64/x
  3. Step 3: Cross multiply
    174,667.12x = 261,824.64 × 99,762.64
  4. Step 4: Simplify right side
    174,667.12x = 26,120,317,303.45
  5. Step 5: Solve for x
    x = 26,120,317,303.45/174,667.12
  6. Step 6: Final answer
    x = 149,543.41

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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.