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Finding the Fourth Proportional to 178,214.66, 266,657.58 and 176,221.66

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Solution

The fourth proportional to 178,214.66, 266,657.58 and 176,221.66 is: 263,675.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,214.66 : 266,657.58 = 176,221.66 : x
  2. Step 2: Convert to fraction form
    178,214.66/266,657.58 = 176,221.66/x
  3. Step 3: Cross multiply
    178,214.66x = 266,657.58 × 176,221.66
  4. Step 4: Simplify right side
    178,214.66x = 46,990,841,399.18
  5. Step 5: Solve for x
    x = 46,990,841,399.18/178,214.66
  6. Step 6: Final answer
    x = 263,675.51

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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.