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Finding the Fourth Proportional to 152,038, 228,064.56 and 107,714.80

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Solution

The fourth proportional to 152,038, 228,064.56 and 107,714.80 is: 161,577.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,038 : 228,064.56 = 107,714.80 : x
  2. Step 2: Convert to fraction form
    152,038/228,064.56 = 107,714.80/x
  3. Step 3: Cross multiply
    152,038x = 228,064.56 × 107,714.80
  4. Step 4: Simplify right side
    152,038x = 24,565,928,467.49
  5. Step 5: Solve for x
    x = 24,565,928,467.49/152,038
  6. Step 6: Final answer
    x = 161,577.56

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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.