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Finding the Fourth Proportional to 256,111.79, 384,069.23 and 176,986.13

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Solution

The fourth proportional to 256,111.79, 384,069.23 and 176,986.13 is: 265,411.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,111.79 : 384,069.23 = 176,986.13 : x
  2. Step 2: Convert to fraction form
    256,111.79/384,069.23 = 176,986.13/x
  3. Step 3: Cross multiply
    256,111.79x = 384,069.23 × 176,986.13
  4. Step 4: Simplify right side
    256,111.79x = 67,974,925,784.85
  5. Step 5: Solve for x
    x = 67,974,925,784.85/256,111.79
  6. Step 6: Final answer
    x = 265,411.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.