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Finding the Fourth Proportional to 207,323.30, 310,984.96 and 102,347.30

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Solution

The fourth proportional to 207,323.30, 310,984.96 and 102,347.30 is: 153,520.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,323.30 : 310,984.96 = 102,347.30 : x
  2. Step 2: Convert to fraction form
    207,323.30/310,984.96 = 102,347.30/x
  3. Step 3: Cross multiply
    207,323.30x = 310,984.96 × 102,347.30
  4. Step 4: Simplify right side
    207,323.30x = 31,828,470,996.61
  5. Step 5: Solve for x
    x = 31,828,470,996.61/207,323.30
  6. Step 6: Final answer
    x = 153,520.95

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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.