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Finding the Fourth Proportional to 229,936.56, 317,041.02 and 157,374.46

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Solution

The fourth proportional to 229,936.56, 317,041.02 and 157,374.46 is: 216,990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,936.56 : 317,041.02 = 157,374.46 : x
  2. Step 2: Convert to fraction form
    229,936.56/317,041.02 = 157,374.46/x
  3. Step 3: Cross multiply
    229,936.56x = 317,041.02 × 157,374.46
  4. Step 4: Simplify right side
    229,936.56x = 49,894,159,320.35
  5. Step 5: Solve for x
    x = 49,894,159,320.35/229,936.56
  6. Step 6: Final answer
    x = 216,990.98

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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.