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Finding the Fourth Proportional to 225,587.19, 311,310.32 and 134,946.98

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Solution

The fourth proportional to 225,587.19, 311,310.32 and 134,946.98 is: 186,226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,587.19 : 311,310.32 = 134,946.98 : x
  2. Step 2: Convert to fraction form
    225,587.19/311,310.32 = 134,946.98/x
  3. Step 3: Cross multiply
    225,587.19x = 311,310.32 × 134,946.98
  4. Step 4: Simplify right side
    225,587.19x = 42,010,385,970.28
  5. Step 5: Solve for x
    x = 42,010,385,970.28/225,587.19
  6. Step 6: Final answer
    x = 186,226.82

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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.