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Finding the Fourth Proportional to 96,276.80, 144,026.40 and 83,273.60

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Solution

The fourth proportional to 96,276.80, 144,026.40 and 83,273.60 is: 124,574.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,276.80 : 144,026.40 = 83,273.60 : x
  2. Step 2: Convert to fraction form
    96,276.80/144,026.40 = 83,273.60/x
  3. Step 3: Cross multiply
    96,276.80x = 144,026.40 × 83,273.60
  4. Step 4: Simplify right side
    96,276.80x = 11,993,596,823.04
  5. Step 5: Solve for x
    x = 11,993,596,823.04/96,276.80
  6. Step 6: Final answer
    x = 124,574.11

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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.