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Finding the Fourth Proportional to 97,818.30, 146,727.45 and 97,235.10

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Solution

The fourth proportional to 97,818.30, 146,727.45 and 97,235.10 is: 145,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,818.30 : 146,727.45 = 97,235.10 : x
  2. Step 2: Convert to fraction form
    97,818.30/146,727.45 = 97,235.10/x
  3. Step 3: Cross multiply
    97,818.30x = 146,727.45 × 97,235.10
  4. Step 4: Simplify right side
    97,818.30x = 14,267,058,273.50
  5. Step 5: Solve for x
    x = 14,267,058,273.50/97,818.30
  6. Step 6: Final answer
    x = 145,852.65

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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.