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Finding the Fourth Proportional to 101,911.10, 152,710.79 and 42,714.50

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Solution

The fourth proportional to 101,911.10, 152,710.79 and 42,714.50 is: 64,006.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,911.10 : 152,710.79 = 42,714.50 : x
  2. Step 2: Convert to fraction form
    101,911.10/152,710.79 = 42,714.50/x
  3. Step 3: Cross multiply
    101,911.10x = 152,710.79 × 42,714.50
  4. Step 4: Simplify right side
    101,911.10x = 6,522,964,062.33
  5. Step 5: Solve for x
    x = 6,522,964,062.33/101,911.10
  6. Step 6: Final answer
    x = 64,006.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.