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Finding the Fourth Proportional to 102,330.65, 153,212.58 and 52,303.03

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Solution

The fourth proportional to 102,330.65, 153,212.58 and 52,303.03 is: 78,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,330.65 : 153,212.58 = 52,303.03 : x
  2. Step 2: Convert to fraction form
    102,330.65/153,212.58 = 52,303.03/x
  3. Step 3: Cross multiply
    102,330.65x = 153,212.58 × 52,303.03
  4. Step 4: Simplify right side
    102,330.65x = 8,013,481,785.09
  5. Step 5: Solve for x
    x = 8,013,481,785.09/102,330.65
  6. Step 6: Final answer
    x = 78,309.69

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