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Finding the Fourth Proportional to 210,082.53, 315,041.58 and 73,271.10

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Solution

The fourth proportional to 210,082.53, 315,041.58 and 73,271.10 is: 109,877.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,082.53 : 315,041.58 = 73,271.10 : x
  2. Step 2: Convert to fraction form
    210,082.53/315,041.58 = 73,271.10/x
  3. Step 3: Cross multiply
    210,082.53x = 315,041.58 × 73,271.10
  4. Step 4: Simplify right side
    210,082.53x = 23,083,443,112.34
  5. Step 5: Solve for x
    x = 23,083,443,112.34/210,082.53
  6. Step 6: Final answer
    x = 109,877.98

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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.