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Finding the Fourth Proportional to 233,970.66, 350,955.72 and 76,198.86

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Solution

The fourth proportional to 233,970.66, 350,955.72 and 76,198.86 is: 114,298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,970.66 : 350,955.72 = 76,198.86 : x
  2. Step 2: Convert to fraction form
    233,970.66/350,955.72 = 76,198.86/x
  3. Step 3: Cross multiply
    233,970.66x = 350,955.72 × 76,198.86
  4. Step 4: Simplify right side
    233,970.66x = 26,742,425,774.48
  5. Step 5: Solve for x
    x = 26,742,425,774.48/233,970.66
  6. Step 6: Final answer
    x = 114,298.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.