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Finding the Fourth Proportional to 117,225.40, 175,838.10 and 38,320.60

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Solution

The fourth proportional to 117,225.40, 175,838.10 and 38,320.60 is: 57,480.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,225.40 : 175,838.10 = 38,320.60 : x
  2. Step 2: Convert to fraction form
    117,225.40/175,838.10 = 38,320.60/x
  3. Step 3: Cross multiply
    117,225.40x = 175,838.10 × 38,320.60
  4. Step 4: Simplify right side
    117,225.40x = 6,738,221,494.86
  5. Step 5: Solve for x
    x = 6,738,221,494.86/117,225.40
  6. Step 6: Final answer
    x = 57,480.90

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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.