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Finding the Fourth Proportional to 229,213.46, 316,347.47 and 137,336.37

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Solution

The fourth proportional to 229,213.46, 316,347.47 and 137,336.37 is: 189,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,213.46 : 316,347.47 = 137,336.37 : x
  2. Step 2: Convert to fraction form
    229,213.46/316,347.47 = 137,336.37/x
  3. Step 3: Cross multiply
    229,213.46x = 316,347.47 × 137,336.37
  4. Step 4: Simplify right side
    229,213.46x = 43,446,011,710.93
  5. Step 5: Solve for x
    x = 43,446,011,710.93/229,213.46
  6. Step 6: Final answer
    x = 189,543.90

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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.