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Finding the Fourth Proportional to 195,457.20, 293,195.40 and 102,145.20

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Solution

The fourth proportional to 195,457.20, 293,195.40 and 102,145.20 is: 153,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,457.20 : 293,195.40 = 102,145.20 : x
  2. Step 2: Convert to fraction form
    195,457.20/293,195.40 = 102,145.20/x
  3. Step 3: Cross multiply
    195,457.20x = 293,195.40 × 102,145.20
  4. Step 4: Simplify right side
    195,457.20x = 29,948,502,772.08
  5. Step 5: Solve for x
    x = 29,948,502,772.08/195,457.20
  6. Step 6: Final answer
    x = 153,222.82

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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.