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Finding the Fourth Proportional to 238,214.80, 357,186.12 and 97,858

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Solution

The fourth proportional to 238,214.80, 357,186.12 and 97,858 is: 146,731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,214.80 : 357,186.12 = 97,858 : x
  2. Step 2: Convert to fraction form
    238,214.80/357,186.12 = 97,858/x
  3. Step 3: Cross multiply
    238,214.80x = 357,186.12 × 97,858
  4. Step 4: Simplify right side
    238,214.80x = 34,953,519,330.96
  5. Step 5: Solve for x
    x = 34,953,519,330.96/238,214.80
  6. Step 6: Final answer
    x = 146,731.10

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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.