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Finding the Fourth Proportional to 180,276, 248,780.88 and 108,657.12

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Solution

The fourth proportional to 180,276, 248,780.88 and 108,657.12 is: 149,946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,276 : 248,780.88 = 108,657.12 : x
  2. Step 2: Convert to fraction form
    180,276/248,780.88 = 108,657.12/x
  3. Step 3: Cross multiply
    180,276x = 248,780.88 × 108,657.12
  4. Step 4: Simplify right side
    180,276x = 27,031,813,931.87
  5. Step 5: Solve for x
    x = 27,031,813,931.87/180,276
  6. Step 6: Final answer
    x = 149,946.83

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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.