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Finding the Fourth Proportional to 550,094.88, 825,153.84 and 176,116.80

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Solution

The fourth proportional to 550,094.88, 825,153.84 and 176,116.80 is: 264,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,094.88 : 825,153.84 = 176,116.80 : x
  2. Step 2: Convert to fraction form
    550,094.88/825,153.84 = 176,116.80/x
  3. Step 3: Cross multiply
    550,094.88x = 825,153.84 × 176,116.80
  4. Step 4: Simplify right side
    550,094.88x = 145,323,453,808.51
  5. Step 5: Solve for x
    x = 145,323,453,808.51/550,094.88
  6. Step 6: Final answer
    x = 264,178.89

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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.