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Finding the Fourth Proportional to 176,711.40, 264,483.90 and 137,053.80

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Solution

The fourth proportional to 176,711.40, 264,483.90 and 137,053.80 is: 205,128.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,711.40 : 264,483.90 = 137,053.80 : x
  2. Step 2: Convert to fraction form
    176,711.40/264,483.90 = 137,053.80/x
  3. Step 3: Cross multiply
    176,711.40x = 264,483.90 × 137,053.80
  4. Step 4: Simplify right side
    176,711.40x = 36,248,523,533.82
  5. Step 5: Solve for x
    x = 36,248,523,533.82/176,711.40
  6. Step 6: Final answer
    x = 205,128.38

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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.