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Finding the Fourth Proportional to 169,420.70, 254,154.54 and 57,133.10

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Solution

The fourth proportional to 169,420.70, 254,154.54 and 57,133.10 is: 85,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,420.70 : 254,154.54 = 57,133.10 : x
  2. Step 2: Convert to fraction form
    169,420.70/254,154.54 = 57,133.10/x
  3. Step 3: Cross multiply
    169,420.70x = 254,154.54 × 57,133.10
  4. Step 4: Simplify right side
    169,420.70x = 14,520,636,749.27
  5. Step 5: Solve for x
    x = 14,520,636,749.27/169,420.70
  6. Step 6: Final answer
    x = 85,707.57

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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.