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Finding the Fourth Proportional to 119,285.34, 178,928.06 and 56,059.06

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Solution

The fourth proportional to 119,285.34, 178,928.06 and 56,059.06 is: 84,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,285.34 : 178,928.06 = 56,059.06 : x
  2. Step 2: Convert to fraction form
    119,285.34/178,928.06 = 56,059.06/x
  3. Step 3: Cross multiply
    119,285.34x = 178,928.06 × 56,059.06
  4. Step 4: Simplify right side
    119,285.34x = 10,030,538,851.22
  5. Step 5: Solve for x
    x = 10,030,538,851.22/119,285.34
  6. Step 6: Final answer
    x = 84,088.61

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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.