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Finding the Fourth Proportional to 176,493.20, 264,739.80 and 157,830.80

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Solution

The fourth proportional to 176,493.20, 264,739.80 and 157,830.80 is: 236,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,493.20 : 264,739.80 = 157,830.80 : x
  2. Step 2: Convert to fraction form
    176,493.20/264,739.80 = 157,830.80/x
  3. Step 3: Cross multiply
    176,493.20x = 264,739.80 × 157,830.80
  4. Step 4: Simplify right side
    176,493.20x = 41,784,094,425.84
  5. Step 5: Solve for x
    x = 41,784,094,425.84/176,493.20
  6. Step 6: Final answer
    x = 236,746.20

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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.