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Finding the Fourth Proportional to 219,506.06, 328,747.16 and 186,108.14

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Solution

The fourth proportional to 219,506.06, 328,747.16 and 186,108.14 is: 278,728.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,506.06 : 328,747.16 = 186,108.14 : x
  2. Step 2: Convert to fraction form
    219,506.06/328,747.16 = 186,108.14/x
  3. Step 3: Cross multiply
    219,506.06x = 328,747.16 × 186,108.14
  4. Step 4: Simplify right side
    219,506.06x = 61,182,522,477.88
  5. Step 5: Solve for x
    x = 61,182,522,477.88/219,506.06
  6. Step 6: Final answer
    x = 278,728.17

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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.