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Finding the Fourth Proportional to 130,015.30, 195,029.35 and 67,807.30

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Solution

The fourth proportional to 130,015.30, 195,029.35 and 67,807.30 is: 101,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,015.30 : 195,029.35 = 67,807.30 : x
  2. Step 2: Convert to fraction form
    130,015.30/195,029.35 = 67,807.30/x
  3. Step 3: Cross multiply
    130,015.30x = 195,029.35 × 67,807.30
  4. Step 4: Simplify right side
    130,015.30x = 13,224,413,644.26
  5. Step 5: Solve for x
    x = 13,224,413,644.26/130,015.30
  6. Step 6: Final answer
    x = 101,714.29

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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.