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Finding the Fourth Proportional to 210,834.51, 316,391.84 and 98,523.42

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Solution

The fourth proportional to 210,834.51, 316,391.84 and 98,523.42 is: 147,850.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,834.51 : 316,391.84 = 98,523.42 : x
  2. Step 2: Convert to fraction form
    210,834.51/316,391.84 = 98,523.42/x
  3. Step 3: Cross multiply
    210,834.51x = 316,391.84 × 98,523.42
  4. Step 4: Simplify right side
    210,834.51x = 31,172,005,644.28
  5. Step 5: Solve for x
    x = 31,172,005,644.28/210,834.51
  6. Step 6: Final answer
    x = 147,850.59

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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.