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Finding the Fourth Proportional to 220,103.84, 303,746.64 and 119,501.84

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Solution

The fourth proportional to 220,103.84, 303,746.64 and 119,501.84 is: 164,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,103.84 : 303,746.64 = 119,501.84 : x
  2. Step 2: Convert to fraction form
    220,103.84/303,746.64 = 119,501.84/x
  3. Step 3: Cross multiply
    220,103.84x = 303,746.64 × 119,501.84
  4. Step 4: Simplify right side
    220,103.84x = 36,298,282,373.82
  5. Step 5: Solve for x
    x = 36,298,282,373.82/220,103.84
  6. Step 6: Final answer
    x = 164,914.35

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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.