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Finding the Fourth Proportional to 230,521.46, 345,699 and 97,412.00

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Solution

The fourth proportional to 230,521.46, 345,699 and 97,412.00 is: 146,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,521.46 : 345,699 = 97,412.00 : x
  2. Step 2: Convert to fraction form
    230,521.46/345,699 = 97,412.00/x
  3. Step 3: Cross multiply
    230,521.46x = 345,699 × 97,412.00
  4. Step 4: Simplify right side
    230,521.46x = 33,675,229,259.51
  5. Step 5: Solve for x
    x = 33,675,229,259.51/230,521.46
  6. Step 6: Final answer
    x = 146,082.84

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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.