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Finding the Fourth Proportional to 114,705, 172,024.65 and 48,160.08

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Solution

The fourth proportional to 114,705, 172,024.65 and 48,160.08 is: 72,226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,705 : 172,024.65 = 48,160.08 : x
  2. Step 2: Convert to fraction form
    114,705/172,024.65 = 48,160.08/x
  3. Step 3: Cross multiply
    114,705x = 172,024.65 × 48,160.08
  4. Step 4: Simplify right side
    114,705x = 8,284,720,905.97
  5. Step 5: Solve for x
    x = 8,284,720,905.97/114,705
  6. Step 6: Final answer
    x = 72,226.33

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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.