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Finding the Fourth Proportional to 177,804.52, 266,666.83 and 51,416.57

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Solution

The fourth proportional to 177,804.52, 266,666.83 and 51,416.57 is: 77,113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,804.52 : 266,666.83 = 51,416.57 : x
  2. Step 2: Convert to fraction form
    177,804.52/266,666.83 = 51,416.57/x
  3. Step 3: Cross multiply
    177,804.52x = 266,666.83 × 51,416.57
  4. Step 4: Simplify right side
    177,804.52x = 13,711,094,558.72
  5. Step 5: Solve for x
    x = 13,711,094,558.72/177,804.52
  6. Step 6: Final answer
    x = 77,113.31

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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.