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Finding the Fourth Proportional to 210,298.33, 315,445.74 and 52,525.72

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Solution

The fourth proportional to 210,298.33, 315,445.74 and 52,525.72 is: 78,788.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,298.33 : 315,445.74 = 52,525.72 : x
  2. Step 2: Convert to fraction form
    210,298.33/315,445.74 = 52,525.72/x
  3. Step 3: Cross multiply
    210,298.33x = 315,445.74 × 52,525.72
  4. Step 4: Simplify right side
    210,298.33x = 16,569,014,614.43
  5. Step 5: Solve for x
    x = 16,569,014,614.43/210,298.33
  6. Step 6: Final answer
    x = 78,788.14

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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.