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Finding the Fourth Proportional to 205,774.52, 310,204.10 and 192,057.93

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Solution

The fourth proportional to 205,774.52, 310,204.10 and 192,057.93 is: 289,526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,774.52 : 310,204.10 = 192,057.93 : x
  2. Step 2: Convert to fraction form
    205,774.52/310,204.10 = 192,057.93/x
  3. Step 3: Cross multiply
    205,774.52x = 310,204.10 × 192,057.93
  4. Step 4: Simplify right side
    205,774.52x = 59,577,156,363.22
  5. Step 5: Solve for x
    x = 59,577,156,363.22/205,774.52
  6. Step 6: Final answer
    x = 289,526.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.