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Finding the Fourth Proportional to 178,046.76, 266,983.98 and 65,779.86

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Solution

The fourth proportional to 178,046.76, 266,983.98 and 65,779.86 is: 98,637.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,046.76 : 266,983.98 = 65,779.86 : x
  2. Step 2: Convert to fraction form
    178,046.76/266,983.98 = 65,779.86/x
  3. Step 3: Cross multiply
    178,046.76x = 266,983.98 × 65,779.86
  4. Step 4: Simplify right side
    178,046.76x = 17,562,168,826.64
  5. Step 5: Solve for x
    x = 17,562,168,826.64/178,046.76
  6. Step 6: Final answer
    x = 98,637.96

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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.