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Finding the Fourth Proportional to 228,116.30, 314,788.83 and 127,514.30

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Solution

The fourth proportional to 228,116.30, 314,788.83 and 127,514.30 is: 175,963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,116.30 : 314,788.83 = 127,514.30 : x
  2. Step 2: Convert to fraction form
    228,116.30/314,788.83 = 127,514.30/x
  3. Step 3: Cross multiply
    228,116.30x = 314,788.83 × 127,514.30
  4. Step 4: Simplify right side
    228,116.30x = 40,140,077,305.27
  5. Step 5: Solve for x
    x = 40,140,077,305.27/228,116.30
  6. Step 6: Final answer
    x = 175,963.21

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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.