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Finding the Fourth Proportional to 200,053.53, 276,071.15 and 114,017.65

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Solution

The fourth proportional to 200,053.53, 276,071.15 and 114,017.65 is: 157,342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,053.53 : 276,071.15 = 114,017.65 : x
  2. Step 2: Convert to fraction form
    200,053.53/276,071.15 = 114,017.65/x
  3. Step 3: Cross multiply
    200,053.53x = 276,071.15 × 114,017.65
  4. Step 4: Simplify right side
    200,053.53x = 31,476,983,350.66
  5. Step 5: Solve for x
    x = 31,476,983,350.66/200,053.53
  6. Step 6: Final answer
    x = 157,342.80

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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.