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Finding the Fourth Proportional to 152,811, 229,308.66 and 65,259

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Solution

The fourth proportional to 152,811, 229,308.66 and 65,259 is: 97,927.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,811 : 229,308.66 = 65,259 : x
  2. Step 2: Convert to fraction form
    152,811/229,308.66 = 65,259/x
  3. Step 3: Cross multiply
    152,811x = 229,308.66 × 65,259
  4. Step 4: Simplify right side
    152,811x = 14,964,453,842.94
  5. Step 5: Solve for x
    x = 14,964,453,842.94/152,811
  6. Step 6: Final answer
    x = 97,927.86

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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.