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Finding the Fourth Proportional to 128,456.50, 177,210.09 and 83,149.06

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Solution

The fourth proportional to 128,456.50, 177,210.09 and 83,149.06 is: 114,706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,456.50 : 177,210.09 = 83,149.06 : x
  2. Step 2: Convert to fraction form
    128,456.50/177,210.09 = 83,149.06/x
  3. Step 3: Cross multiply
    128,456.50x = 177,210.09 × 83,149.06
  4. Step 4: Simplify right side
    128,456.50x = 14,734,852,406.02
  5. Step 5: Solve for x
    x = 14,734,852,406.02/128,456.50
  6. Step 6: Final answer
    x = 114,706.94

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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.