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Finding the Fourth Proportional to 109,192.64, 163,484.82 and 55,768.94

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Solution

The fourth proportional to 109,192.64, 163,484.82 and 55,768.94 is: 83,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,192.64 : 163,484.82 = 55,768.94 : x
  2. Step 2: Convert to fraction form
    109,192.64/163,484.82 = 55,768.94/x
  3. Step 3: Cross multiply
    109,192.64x = 163,484.82 × 55,768.94
  4. Step 4: Simplify right side
    109,192.64x = 9,117,375,117.49
  5. Step 5: Solve for x
    x = 9,117,375,117.49/109,192.64
  6. Step 6: Final answer
    x = 83,498.07

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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.