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Finding the Fourth Proportional to 272,666.58, 409,055.16 and 114,894.96

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Solution

The fourth proportional to 272,666.58, 409,055.16 and 114,894.96 is: 172,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,666.58 : 409,055.16 = 114,894.96 : x
  2. Step 2: Convert to fraction form
    272,666.58/409,055.16 = 114,894.96/x
  3. Step 3: Cross multiply
    272,666.58x = 409,055.16 × 114,894.96
  4. Step 4: Simplify right side
    272,666.58x = 46,998,376,245.99
  5. Step 5: Solve for x
    x = 46,998,376,245.99/272,666.58
  6. Step 6: Final answer
    x = 172,365.74

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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.