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Finding the Fourth Proportional to 201,458.16, 277,995.12 and 116,580.48

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Solution

The fourth proportional to 201,458.16, 277,995.12 and 116,580.48 is: 160,871.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,458.16 : 277,995.12 = 116,580.48 : x
  2. Step 2: Convert to fraction form
    201,458.16/277,995.12 = 116,580.48/x
  3. Step 3: Cross multiply
    201,458.16x = 277,995.12 × 116,580.48
  4. Step 4: Simplify right side
    201,458.16x = 32,408,804,527.26
  5. Step 5: Solve for x
    x = 32,408,804,527.26/201,458.16
  6. Step 6: Final answer
    x = 160,871.14

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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.