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Finding the Fourth Proportional to 191,569.68, 287,354.34 and 51,324.48

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Solution

The fourth proportional to 191,569.68, 287,354.34 and 51,324.48 is: 76,986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,569.68 : 287,354.34 = 51,324.48 : x
  2. Step 2: Convert to fraction form
    191,569.68/287,354.34 = 51,324.48/x
  3. Step 3: Cross multiply
    191,569.68x = 287,354.34 × 51,324.48
  4. Step 4: Simplify right side
    191,569.68x = 14,748,312,076.24
  5. Step 5: Solve for x
    x = 14,748,312,076.24/191,569.68
  6. Step 6: Final answer
    x = 76,986.67

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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.