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Finding the Fourth Proportional to 206,848.35, 310,051.80 and 117,910.35

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Solution

The fourth proportional to 206,848.35, 310,051.80 and 117,910.35 is: 176,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,848.35 : 310,051.80 = 117,910.35 : x
  2. Step 2: Convert to fraction form
    206,848.35/310,051.80 = 117,910.35/x
  3. Step 3: Cross multiply
    206,848.35x = 310,051.80 × 117,910.35
  4. Step 4: Simplify right side
    206,848.35x = 36,558,316,256.13
  5. Step 5: Solve for x
    x = 36,558,316,256.13/206,848.35
  6. Step 6: Final answer
    x = 176,739.70

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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.