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Finding the Fourth Proportional to 229,151.94, 316,158.80 and 133,591

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Solution

The fourth proportional to 229,151.94, 316,158.80 and 133,591 is: 184,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,151.94 : 316,158.80 = 133,591 : x
  2. Step 2: Convert to fraction form
    229,151.94/316,158.80 = 133,591/x
  3. Step 3: Cross multiply
    229,151.94x = 316,158.80 × 133,591
  4. Step 4: Simplify right side
    229,151.94x = 42,235,970,250.80
  5. Step 5: Solve for x
    x = 42,235,970,250.80/229,151.94
  6. Step 6: Final answer
    x = 184,314.26

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1.5x scale

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.