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Finding the Fourth Proportional to 229,598.40, 316,824.05 and 127,611.75

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Solution

The fourth proportional to 229,598.40, 316,824.05 and 127,611.75 is: 176,092.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,598.40 : 316,824.05 = 127,611.75 : x
  2. Step 2: Convert to fraction form
    229,598.40/316,824.05 = 127,611.75/x
  3. Step 3: Cross multiply
    229,598.40x = 316,824.05 × 127,611.75
  4. Step 4: Simplify right side
    229,598.40x = 40,430,471,462.59
  5. Step 5: Solve for x
    x = 40,430,471,462.59/229,598.40
  6. Step 6: Final answer
    x = 176,092.13

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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.