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Finding the Fourth Proportional to 140,494.46, 210,852.40 and 61,663.10

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Solution

The fourth proportional to 140,494.46, 210,852.40 and 61,663.10 is: 92,543.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,494.46 : 210,852.40 = 61,663.10 : x
  2. Step 2: Convert to fraction form
    140,494.46/210,852.40 = 61,663.10/x
  3. Step 3: Cross multiply
    140,494.46x = 210,852.40 × 61,663.10
  4. Step 4: Simplify right side
    140,494.46x = 13,001,812,626.44
  5. Step 5: Solve for x
    x = 13,001,812,626.44/140,494.46
  6. Step 6: Final answer
    x = 92,543.24

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Why These Related Problems?

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