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Finding the Fourth Proportional to 210,917.16, 316,235.37 and 116,191.89

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Solution

The fourth proportional to 210,917.16, 316,235.37 and 116,191.89 is: 174,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,917.16 : 316,235.37 = 116,191.89 : x
  2. Step 2: Convert to fraction form
    210,917.16/316,235.37 = 116,191.89/x
  3. Step 3: Cross multiply
    210,917.16x = 316,235.37 × 116,191.89
  4. Step 4: Simplify right side
    210,917.16x = 36,743,985,325.15
  5. Step 5: Solve for x
    x = 36,743,985,325.15/210,917.16
  6. Step 6: Final answer
    x = 174,210.51

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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.