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Finding the Fourth Proportional to 204,607.94, 282,261.17 and 158,973.64

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Solution

The fourth proportional to 204,607.94, 282,261.17 and 158,973.64 is: 219,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,607.94 : 282,261.17 = 158,973.64 : x
  2. Step 2: Convert to fraction form
    204,607.94/282,261.17 = 158,973.64/x
  3. Step 3: Cross multiply
    204,607.94x = 282,261.17 × 158,973.64
  4. Step 4: Simplify right side
    204,607.94x = 44,872,085,317.34
  5. Step 5: Solve for x
    x = 44,872,085,317.34/204,607.94
  6. Step 6: Final answer
    x = 219,307.65

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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.