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Finding the Fourth Proportional to 219,529.33, 302,952.82 and 128,886.38

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Solution

The fourth proportional to 219,529.33, 302,952.82 and 128,886.38 is: 177,864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,529.33 : 302,952.82 = 128,886.38 : x
  2. Step 2: Convert to fraction form
    219,529.33/302,952.82 = 128,886.38/x
  3. Step 3: Cross multiply
    219,529.33x = 302,952.82 × 128,886.38
  4. Step 4: Simplify right side
    219,529.33x = 39,046,492,280.59
  5. Step 5: Solve for x
    x = 39,046,492,280.59/219,529.33
  6. Step 6: Final answer
    x = 177,864.58

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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.