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Finding the Fourth Proportional to 219,064.32, 328,546.24 and 61,303.84

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Solution

The fourth proportional to 219,064.32, 328,546.24 and 61,303.84 is: 91,941.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,064.32 : 328,546.24 = 61,303.84 : x
  2. Step 2: Convert to fraction form
    219,064.32/328,546.24 = 61,303.84/x
  3. Step 3: Cross multiply
    219,064.32x = 328,546.24 × 61,303.84
  4. Step 4: Simplify right side
    219,064.32x = 20,141,146,129.56
  5. Step 5: Solve for x
    x = 20,141,146,129.56/219,064.32
  6. Step 6: Final answer
    x = 91,941.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.