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Finding the Fourth Proportional to 365,959.96, 549,096.93 and 141,478.05

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Solution

The fourth proportional to 365,959.96, 549,096.93 and 141,478.05 is: 212,277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,959.96 : 549,096.93 = 141,478.05 : x
  2. Step 2: Convert to fraction form
    365,959.96/549,096.93 = 141,478.05/x
  3. Step 3: Cross multiply
    365,959.96x = 549,096.93 × 141,478.05
  4. Step 4: Simplify right side
    365,959.96x = 77,685,162,418.37
  5. Step 5: Solve for x
    x = 77,685,162,418.37/365,959.96
  6. Step 6: Final answer
    x = 212,277.77

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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.