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Finding the Fourth Proportional to 200,842.64, 277,165.80 and 110,207.60

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Solution

The fourth proportional to 200,842.64, 277,165.80 and 110,207.60 is: 152,088.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,842.64 : 277,165.80 = 110,207.60 : x
  2. Step 2: Convert to fraction form
    200,842.64/277,165.80 = 110,207.60/x
  3. Step 3: Cross multiply
    200,842.64x = 277,165.80 × 110,207.60
  4. Step 4: Simplify right side
    200,842.64x = 30,545,777,620.08
  5. Step 5: Solve for x
    x = 30,545,777,620.08/200,842.64
  6. Step 6: Final answer
    x = 152,088.11

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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.