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Finding the Fourth Proportional to 401,712.57, 602,148.36 and 135,381.06

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Solution

The fourth proportional to 401,712.57, 602,148.36 and 135,381.06 is: 202,929.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,712.57 : 602,148.36 = 135,381.06 : x
  2. Step 2: Convert to fraction form
    401,712.57/602,148.36 = 135,381.06/x
  3. Step 3: Cross multiply
    401,712.57x = 602,148.36 × 135,381.06
  4. Step 4: Simplify right side
    401,712.57x = 81,519,483,254.06
  5. Step 5: Solve for x
    x = 81,519,483,254.06/401,712.57
  6. Step 6: Final answer
    x = 202,929.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.