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Finding the Fourth Proportional to 169,358.64, 254,038.41 and 57,117.70

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Solution

The fourth proportional to 169,358.64, 254,038.41 and 57,117.70 is: 85,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,358.64 : 254,038.41 = 57,117.70 : x
  2. Step 2: Convert to fraction form
    169,358.64/254,038.41 = 57,117.70/x
  3. Step 3: Cross multiply
    169,358.64x = 254,038.41 × 57,117.70
  4. Step 4: Simplify right side
    169,358.64x = 14,510,089,690.86
  5. Step 5: Solve for x
    x = 14,510,089,690.86/169,358.64
  6. Step 6: Final answer
    x = 85,676.70

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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.