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Finding the Fourth Proportional to 188,642.25, 283,045.46 and 70,298.28

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Solution

The fourth proportional to 188,642.25, 283,045.46 and 70,298.28 is: 105,478.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,642.25 : 283,045.46 = 70,298.28 : x
  2. Step 2: Convert to fraction form
    188,642.25/283,045.46 = 70,298.28/x
  3. Step 3: Cross multiply
    188,642.25x = 283,045.46 × 70,298.28
  4. Step 4: Simplify right side
    188,642.25x = 19,897,608,648.32
  5. Step 5: Solve for x
    x = 19,897,608,648.32/188,642.25
  6. Step 6: Final answer
    x = 105,478.01

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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.