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Finding the Fourth Proportional to 225,952.32, 311,530.49 and 165,417.87

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Solution

The fourth proportional to 225,952.32, 311,530.49 and 165,417.87 is: 228,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,952.32 : 311,530.49 = 165,417.87 : x
  2. Step 2: Convert to fraction form
    225,952.32/311,530.49 = 165,417.87/x
  3. Step 3: Cross multiply
    225,952.32x = 311,530.49 × 165,417.87
  4. Step 4: Simplify right side
    225,952.32x = 51,532,710,095.86
  5. Step 5: Solve for x
    x = 51,532,710,095.86/225,952.32
  6. Step 6: Final answer
    x = 228,068.96

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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.