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Finding the Fourth Proportional to 200,962.96, 277,321.72 and 113,746.20

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Solution

The fourth proportional to 200,962.96, 277,321.72 and 113,746.20 is: 156,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,962.96 : 277,321.72 = 113,746.20 : x
  2. Step 2: Convert to fraction form
    200,962.96/277,321.72 = 113,746.20/x
  3. Step 3: Cross multiply
    200,962.96x = 277,321.72 × 113,746.20
  4. Step 4: Simplify right side
    200,962.96x = 31,544,291,827.46
  5. Step 5: Solve for x
    x = 31,544,291,827.46/200,962.96
  6. Step 6: Final answer
    x = 156,965.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.