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Finding the Fourth Proportional to 228,218.76, 314,940.06 and 127,616.76

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Solution

The fourth proportional to 228,218.76, 314,940.06 and 127,616.76 is: 176,110.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,218.76 : 314,940.06 = 127,616.76 : x
  2. Step 2: Convert to fraction form
    228,218.76/314,940.06 = 127,616.76/x
  3. Step 3: Cross multiply
    228,218.76x = 314,940.06 × 127,616.76
  4. Step 4: Simplify right side
    228,218.76x = 40,191,630,051.41
  5. Step 5: Solve for x
    x = 40,191,630,051.41/228,218.76
  6. Step 6: Final answer
    x = 176,110.11

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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.