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Finding the Fourth Proportional to 140,597.30, 210,662.66 and 98,956.82

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Solution

The fourth proportional to 140,597.30, 210,662.66 and 98,956.82 is: 148,271.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,597.30 : 210,662.66 = 98,956.82 : x
  2. Step 2: Convert to fraction form
    140,597.30/210,662.66 = 98,956.82/x
  3. Step 3: Cross multiply
    140,597.30x = 210,662.66 × 98,956.82
  4. Step 4: Simplify right side
    140,597.30x = 20,846,506,926.34
  5. Step 5: Solve for x
    x = 20,846,506,926.34/140,597.30
  6. Step 6: Final answer
    x = 148,271.03

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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.