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Finding the Fourth Proportional to 102,060, 152,980.65 and 49,353.30

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Solution

The fourth proportional to 102,060, 152,980.65 and 49,353.30 is: 73,977.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,060 : 152,980.65 = 49,353.30 : x
  2. Step 2: Convert to fraction form
    102,060/152,980.65 = 49,353.30/x
  3. Step 3: Cross multiply
    102,060x = 152,980.65 × 49,353.30
  4. Step 4: Simplify right side
    102,060x = 7,550,099,913.65
  5. Step 5: Solve for x
    x = 7,550,099,913.65/102,060
  6. Step 6: Final answer
    x = 73,977.07

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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.