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Finding the Fourth Proportional to 176,076.60, 264,114.90 and 109,721.40

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Solution

The fourth proportional to 176,076.60, 264,114.90 and 109,721.40 is: 164,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,076.60 : 264,114.90 = 109,721.40 : x
  2. Step 2: Convert to fraction form
    176,076.60/264,114.90 = 109,721.40/x
  3. Step 3: Cross multiply
    176,076.60x = 264,114.90 × 109,721.40
  4. Step 4: Simplify right side
    176,076.60x = 28,979,056,588.86
  5. Step 5: Solve for x
    x = 28,979,056,588.86/176,076.60
  6. Step 6: Final answer
    x = 164,582.10

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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.