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Finding the Fourth Proportional to 117,113.76, 175,698.64 and 38,228.16

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Solution

The fourth proportional to 117,113.76, 175,698.64 and 38,228.16 is: 57,351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,113.76 : 175,698.64 = 38,228.16 : x
  2. Step 2: Convert to fraction form
    117,113.76/175,698.64 = 38,228.16/x
  3. Step 3: Cross multiply
    117,113.76x = 175,698.64 × 38,228.16
  4. Step 4: Simplify right side
    117,113.76x = 6,716,635,721.70
  5. Step 5: Solve for x
    x = 6,716,635,721.70/117,113.76
  6. Step 6: Final answer
    x = 57,351.38

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1.5x scale

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.