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Finding the Fourth Proportional to 191,096.89, 286,644.25 and 48,941.89

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Solution

The fourth proportional to 191,096.89, 286,644.25 and 48,941.89 is: 73,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,096.89 : 286,644.25 = 48,941.89 : x
  2. Step 2: Convert to fraction form
    191,096.89/286,644.25 = 48,941.89/x
  3. Step 3: Cross multiply
    191,096.89x = 286,644.25 × 48,941.89
  4. Step 4: Simplify right side
    191,096.89x = 14,028,911,352.63
  5. Step 5: Solve for x
    x = 14,028,911,352.63/191,096.89
  6. Step 6: Final answer
    x = 73,412.56

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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.