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Finding the Fourth Proportional to 176,723.40, 264,501.90 and 137,065.80

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Solution

The fourth proportional to 176,723.40, 264,501.90 and 137,065.80 is: 205,146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,723.40 : 264,501.90 = 137,065.80 : x
  2. Step 2: Convert to fraction form
    176,723.40/264,501.90 = 137,065.80/x
  3. Step 3: Cross multiply
    176,723.40x = 264,501.90 × 137,065.80
  4. Step 4: Simplify right side
    176,723.40x = 36,254,164,525.02
  5. Step 5: Solve for x
    x = 36,254,164,525.02/176,723.40
  6. Step 6: Final answer
    x = 205,146.37

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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.