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Finding the Fourth Proportional to 229,709.75, 316,999.47 and 129,107.75

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Solution

The fourth proportional to 229,709.75, 316,999.47 and 129,107.75 is: 178,168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,709.75 : 316,999.47 = 129,107.75 : x
  2. Step 2: Convert to fraction form
    229,709.75/316,999.47 = 129,107.75/x
  3. Step 3: Cross multiply
    229,709.75x = 316,999.47 × 129,107.75
  4. Step 4: Simplify right side
    229,709.75x = 40,927,088,322.89
  5. Step 5: Solve for x
    x = 40,927,088,322.89/229,709.75
  6. Step 6: Final answer
    x = 178,168.70

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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.