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Finding the Fourth Proportional to 206,897.60, 310,346.40 and 184,590.20

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Solution

The fourth proportional to 206,897.60, 310,346.40 and 184,590.20 is: 276,885.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,897.60 : 310,346.40 = 184,590.20 : x
  2. Step 2: Convert to fraction form
    206,897.60/310,346.40 = 184,590.20/x
  3. Step 3: Cross multiply
    206,897.60x = 310,346.40 × 184,590.20
  4. Step 4: Simplify right side
    206,897.60x = 57,286,904,045.28
  5. Step 5: Solve for x
    x = 57,286,904,045.28/206,897.60
  6. Step 6: Final answer
    x = 276,885.30

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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.