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Finding the Fourth Proportional to 146,176.52, 201,702.03 and 85,724.33

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Solution

The fourth proportional to 146,176.52, 201,702.03 and 85,724.33 is: 118,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,176.52 : 201,702.03 = 85,724.33 : x
  2. Step 2: Convert to fraction form
    146,176.52/201,702.03 = 85,724.33/x
  3. Step 3: Cross multiply
    146,176.52x = 201,702.03 × 85,724.33
  4. Step 4: Simplify right side
    146,176.52x = 17,290,771,381.39
  5. Step 5: Solve for x
    x = 17,290,771,381.39/146,176.52
  6. Step 6: Final answer
    x = 118,286.93

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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.