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Finding the Fourth Proportional to 349,150.32, 523,759.32 and 138,741.12

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Solution

The fourth proportional to 349,150.32, 523,759.32 and 138,741.12 is: 208,125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,150.32 : 523,759.32 = 138,741.12 : x
  2. Step 2: Convert to fraction form
    349,150.32/523,759.32 = 138,741.12/x
  3. Step 3: Cross multiply
    349,150.32x = 523,759.32 × 138,741.12
  4. Step 4: Simplify right side
    349,150.32x = 72,666,954,667.24
  5. Step 5: Solve for x
    x = 72,666,954,667.24/349,150.32
  6. Step 6: Final answer
    x = 208,125.13

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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.