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Finding the Fourth Proportional to 149,082.34, 223,577.98 and 42,475

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Solution

The fourth proportional to 149,082.34, 223,577.98 and 42,475 is: 63,699.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,082.34 : 223,577.98 = 42,475 : x
  2. Step 2: Convert to fraction form
    149,082.34/223,577.98 = 42,475/x
  3. Step 3: Cross multiply
    149,082.34x = 223,577.98 × 42,475
  4. Step 4: Simplify right side
    149,082.34x = 9,496,474,700.50
  5. Step 5: Solve for x
    x = 9,496,474,700.50/149,082.34
  6. Step 6: Final answer
    x = 63,699.53

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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.