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Finding the Fourth Proportional to 349,437.56, 524,054.96 and 136,157.90

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Solution

The fourth proportional to 349,437.56, 524,054.96 and 136,157.90 is: 204,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,437.56 : 524,054.96 = 136,157.90 : x
  2. Step 2: Convert to fraction form
    349,437.56/524,054.96 = 136,157.90/x
  3. Step 3: Cross multiply
    349,437.56x = 524,054.96 × 136,157.90
  4. Step 4: Simplify right side
    349,437.56x = 71,354,222,838.18
  5. Step 5: Solve for x
    x = 71,354,222,838.18/349,437.56
  6. Step 6: Final answer
    x = 204,197.35

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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.