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Finding the Fourth Proportional to 185,873.72, 256,483.84 and 109,376

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Solution

The fourth proportional to 185,873.72, 256,483.84 and 109,376 is: 150,926.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,873.72 : 256,483.84 = 109,376 : x
  2. Step 2: Convert to fraction form
    185,873.72/256,483.84 = 109,376/x
  3. Step 3: Cross multiply
    185,873.72x = 256,483.84 × 109,376
  4. Step 4: Simplify right side
    185,873.72x = 28,053,176,483.84
  5. Step 5: Solve for x
    x = 28,053,176,483.84/185,873.72
  6. Step 6: Final answer
    x = 150,926.00

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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.