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Finding the Fourth Proportional to 114,632.52, 172,128.54 and 97,093.08

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Solution

The fourth proportional to 114,632.52, 172,128.54 and 97,093.08 is: 145,791.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,632.52 : 172,128.54 = 97,093.08 : x
  2. Step 2: Convert to fraction form
    114,632.52/172,128.54 = 97,093.08/x
  3. Step 3: Cross multiply
    114,632.52x = 172,128.54 × 97,093.08
  4. Step 4: Simplify right side
    114,632.52x = 16,712,490,104.50
  5. Step 5: Solve for x
    x = 16,712,490,104.50/114,632.52
  6. Step 6: Final answer
    x = 145,791.88

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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.