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Finding the Fourth Proportional to 219,292.82, 328,835.54 and 100,929.14

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Solution

The fourth proportional to 219,292.82, 328,835.54 and 100,929.14 is: 151,345.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,292.82 : 328,835.54 = 100,929.14 : x
  2. Step 2: Convert to fraction form
    219,292.82/328,835.54 = 100,929.14/x
  3. Step 3: Cross multiply
    219,292.82x = 328,835.54 × 100,929.14
  4. Step 4: Simplify right side
    219,292.82x = 33,189,088,253.64
  5. Step 5: Solve for x
    x = 33,189,088,253.64/219,292.82
  6. Step 6: Final answer
    x = 151,345.99

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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.