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Finding the Fourth Proportional to 174,465.80, 261,698.70 and 90,225.80

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Solution

The fourth proportional to 174,465.80, 261,698.70 and 90,225.80 is: 135,338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,465.80 : 261,698.70 = 90,225.80 : x
  2. Step 2: Convert to fraction form
    174,465.80/261,698.70 = 90,225.80/x
  3. Step 3: Cross multiply
    174,465.80x = 261,698.70 × 90,225.80
  4. Step 4: Simplify right side
    174,465.80x = 23,611,974,566.46
  5. Step 5: Solve for x
    x = 23,611,974,566.46/174,465.80
  6. Step 6: Final answer
    x = 135,338.70

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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.