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Finding the Fourth Proportional to 229,598.15, 316,823.70 and 127,611.50

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Solution

The fourth proportional to 229,598.15, 316,823.70 and 127,611.50 is: 176,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,598.15 : 316,823.70 = 127,611.50 : x
  2. Step 2: Convert to fraction form
    229,598.15/316,823.70 = 127,611.50/x
  3. Step 3: Cross multiply
    229,598.15x = 316,823.70 × 127,611.50
  4. Step 4: Simplify right side
    229,598.15x = 40,430,348,384.61
  5. Step 5: Solve for x
    x = 40,430,348,384.61/229,598.15
  6. Step 6: Final answer
    x = 176,091.78

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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.