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Finding the Fourth Proportional to 229,855.70, 317,194.80 and 127,875.98

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Solution

The fourth proportional to 229,855.70, 317,194.80 and 127,875.98 is: 176,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,855.70 : 317,194.80 = 127,875.98 : x
  2. Step 2: Convert to fraction form
    229,855.70/317,194.80 = 127,875.98/x
  3. Step 3: Cross multiply
    229,855.70x = 317,194.80 × 127,875.98
  4. Step 4: Simplify right side
    229,855.70x = 40,561,595,900.90
  5. Step 5: Solve for x
    x = 40,561,595,900.90/229,855.70
  6. Step 6: Final answer
    x = 176,465.48

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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.