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Finding the Fourth Proportional to 401,581.98, 602,250.12 and 135,271.08

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Solution

The fourth proportional to 401,581.98, 602,250.12 and 135,271.08 is: 202,865.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,581.98 : 602,250.12 = 135,271.08 : x
  2. Step 2: Convert to fraction form
    401,581.98/602,250.12 = 135,271.08/x
  3. Step 3: Cross multiply
    401,581.98x = 602,250.12 × 135,271.08
  4. Step 4: Simplify right side
    401,581.98x = 81,467,024,162.53
  5. Step 5: Solve for x
    x = 81,467,024,162.53/401,581.98
  6. Step 6: Final answer
    x = 202,865.24

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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.