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Finding the Fourth Proportional to 176,164.93, 264,287.76 and 76,341.88

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Solution

The fourth proportional to 176,164.93, 264,287.76 and 76,341.88 is: 114,530.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,164.93 : 264,287.76 = 76,341.88 : x
  2. Step 2: Convert to fraction form
    176,164.93/264,287.76 = 76,341.88/x
  3. Step 3: Cross multiply
    176,164.93x = 264,287.76 × 76,341.88
  4. Step 4: Simplify right side
    176,164.93x = 20,176,224,459.39
  5. Step 5: Solve for x
    x = 20,176,224,459.39/176,164.93
  6. Step 6: Final answer
    x = 114,530.31

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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.