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Finding the Fourth Proportional to 128,296.54, 177,005.81 and 83,031.71

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Solution

The fourth proportional to 128,296.54, 177,005.81 and 83,031.71 is: 114,555.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,296.54 : 177,005.81 = 83,031.71 : x
  2. Step 2: Convert to fraction form
    128,296.54/177,005.81 = 83,031.71/x
  3. Step 3: Cross multiply
    128,296.54x = 177,005.81 × 83,031.71
  4. Step 4: Simplify right side
    128,296.54x = 14,697,094,669.08
  5. Step 5: Solve for x
    x = 14,697,094,669.08/128,296.54
  6. Step 6: Final answer
    x = 114,555.66

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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.