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Finding the Fourth Proportional to 210,864.72, 316,297.48 and 53,092.10

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Solution

The fourth proportional to 210,864.72, 316,297.48 and 53,092.10 is: 79,638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,864.72 : 316,297.48 = 53,092.10 : x
  2. Step 2: Convert to fraction form
    210,864.72/316,297.48 = 53,092.10/x
  3. Step 3: Cross multiply
    210,864.72x = 316,297.48 × 53,092.10
  4. Step 4: Simplify right side
    210,864.72x = 16,792,897,437.91
  5. Step 5: Solve for x
    x = 16,792,897,437.91/210,864.72
  6. Step 6: Final answer
    x = 79,638.25

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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.