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Finding the Fourth Proportional to 201,346.64, 277,864.20 and 116,490.32

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Solution

The fourth proportional to 201,346.64, 277,864.20 and 116,490.32 is: 160,760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,346.64 : 277,864.20 = 116,490.32 : x
  2. Step 2: Convert to fraction form
    201,346.64/277,864.20 = 116,490.32/x
  3. Step 3: Cross multiply
    201,346.64x = 277,864.20 × 116,490.32
  4. Step 4: Simplify right side
    201,346.64x = 32,368,489,574.54
  5. Step 5: Solve for x
    x = 32,368,489,574.54/201,346.64
  6. Step 6: Final answer
    x = 160,760.02

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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.