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Finding the Fourth Proportional to 210,005.28, 315,007.31 and 52,233.74

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Solution

The fourth proportional to 210,005.28, 315,007.31 and 52,233.74 is: 78,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,005.28 : 315,007.31 = 52,233.74 : x
  2. Step 2: Convert to fraction form
    210,005.28/315,007.31 = 52,233.74/x
  3. Step 3: Cross multiply
    210,005.28x = 315,007.31 × 52,233.74
  4. Step 4: Simplify right side
    210,005.28x = 16,454,008,779.51
  5. Step 5: Solve for x
    x = 16,454,008,779.51/210,005.28
  6. Step 6: Final answer
    x = 78,350.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.