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Finding the Fourth Proportional to 176,457.80, 264,686.70 and 137,136.20

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Solution

The fourth proportional to 176,457.80, 264,686.70 and 137,136.20 is: 205,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,457.80 : 264,686.70 = 137,136.20 : x
  2. Step 2: Convert to fraction form
    176,457.80/264,686.70 = 137,136.20/x
  3. Step 3: Cross multiply
    176,457.80x = 264,686.70 × 137,136.20
  4. Step 4: Simplify right side
    176,457.80x = 36,298,128,228.54
  5. Step 5: Solve for x
    x = 36,298,128,228.54/176,457.80
  6. Step 6: Final answer
    x = 205,704.30

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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.