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Finding the Fourth Proportional to 210,800.07, 316,324.58 and 77,773.23

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Solution

The fourth proportional to 210,800.07, 316,324.58 and 77,773.23 is: 116,705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,800.07 : 316,324.58 = 77,773.23 : x
  2. Step 2: Convert to fraction form
    210,800.07/316,324.58 = 77,773.23/x
  3. Step 3: Cross multiply
    210,800.07x = 316,324.58 × 77,773.23
  4. Step 4: Simplify right side
    210,800.07x = 24,601,583,926.13
  5. Step 5: Solve for x
    x = 24,601,583,926.13/210,800.07
  6. Step 6: Final answer
    x = 116,705.77

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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.