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Finding the Fourth Proportional to 229,546.89, 316,774.43 and 127,569.12

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Solution

The fourth proportional to 229,546.89, 316,774.43 and 127,569.12 is: 176,045.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,546.89 : 316,774.43 = 127,569.12 : x
  2. Step 2: Convert to fraction form
    229,546.89/316,774.43 = 127,569.12/x
  3. Step 3: Cross multiply
    229,546.89x = 316,774.43 × 127,569.12
  4. Step 4: Simplify right side
    229,546.89x = 40,410,634,635.76
  5. Step 5: Solve for x
    x = 40,410,634,635.76/229,546.89
  6. Step 6: Final answer
    x = 176,045.23

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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.