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Finding the Fourth Proportional to 152,263, 210,122.94 and 85,207.96

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Solution

The fourth proportional to 152,263, 210,122.94 and 85,207.96 is: 117,586.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,263 : 210,122.94 = 85,207.96 : x
  2. Step 2: Convert to fraction form
    152,263/210,122.94 = 85,207.96/x
  3. Step 3: Cross multiply
    152,263x = 210,122.94 × 85,207.96
  4. Step 4: Simplify right side
    152,263x = 17,904,147,066.60
  5. Step 5: Solve for x
    x = 17,904,147,066.60/152,263
  6. Step 6: Final answer
    x = 117,586.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.