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Finding the Fourth Proportional to 204,963.16, 282,840.42 and 151,228.84

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Solution

The fourth proportional to 204,963.16, 282,840.42 and 151,228.84 is: 208,689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,963.16 : 282,840.42 = 151,228.84 : x
  2. Step 2: Convert to fraction form
    204,963.16/282,840.42 = 151,228.84/x
  3. Step 3: Cross multiply
    204,963.16x = 282,840.42 × 151,228.84
  4. Step 4: Simplify right side
    204,963.16x = 42,773,628,621.71
  5. Step 5: Solve for x
    x = 42,773,628,621.71/204,963.16
  6. Step 6: Final answer
    x = 208,689.35

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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.