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Finding the Fourth Proportional to 177,048.93, 265,573.06 and 55,478.78

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Solution

The fourth proportional to 177,048.93, 265,573.06 and 55,478.78 is: 83,218.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,048.93 : 265,573.06 = 55,478.78 : x
  2. Step 2: Convert to fraction form
    177,048.93/265,573.06 = 55,478.78/x
  3. Step 3: Cross multiply
    177,048.93x = 265,573.06 × 55,478.78
  4. Step 4: Simplify right side
    177,048.93x = 14,733,668,899.00
  5. Step 5: Solve for x
    x = 14,733,668,899.00/177,048.93
  6. Step 6: Final answer
    x = 83,218.06

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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.