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Finding the Fourth Proportional to 110,838.21, 152,758.98 and 83,916.24

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Solution

The fourth proportional to 110,838.21, 152,758.98 and 83,916.24 is: 115,654.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,838.21 : 152,758.98 = 83,916.24 : x
  2. Step 2: Convert to fraction form
    110,838.21/152,758.98 = 83,916.24/x
  3. Step 3: Cross multiply
    110,838.21x = 152,758.98 × 83,916.24
  4. Step 4: Simplify right side
    110,838.21x = 12,818,959,227.84
  5. Step 5: Solve for x
    x = 12,818,959,227.84/110,838.21
  6. Step 6: Final answer
    x = 115,654.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.