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Finding the Fourth Proportional to 159,041.40, 238,562.10 and 76,097.40

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Solution

The fourth proportional to 159,041.40, 238,562.10 and 76,097.40 is: 114,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,041.40 : 238,562.10 = 76,097.40 : x
  2. Step 2: Convert to fraction form
    159,041.40/238,562.10 = 76,097.40/x
  3. Step 3: Cross multiply
    159,041.40x = 238,562.10 × 76,097.40
  4. Step 4: Simplify right side
    159,041.40x = 18,153,955,548.54
  5. Step 5: Solve for x
    x = 18,153,955,548.54/159,041.40
  6. Step 6: Final answer
    x = 114,146.10

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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.