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Finding the Fourth Proportional to 133,545.84, 184,295.16 and 73,929.84

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Solution

The fourth proportional to 133,545.84, 184,295.16 and 73,929.84 is: 102,024.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,545.84 : 184,295.16 = 73,929.84 : x
  2. Step 2: Convert to fraction form
    133,545.84/184,295.16 = 73,929.84/x
  3. Step 3: Cross multiply
    133,545.84x = 184,295.16 × 73,929.84
  4. Step 4: Simplify right side
    133,545.84x = 13,624,911,691.57
  5. Step 5: Solve for x
    x = 13,624,911,691.57/133,545.84
  6. Step 6: Final answer
    x = 102,024.23

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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.