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Finding the Fourth Proportional to 205,300.40, 307,921.80 and 65,073.20

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Solution

The fourth proportional to 205,300.40, 307,921.80 and 65,073.20 is: 97,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,300.40 : 307,921.80 = 65,073.20 : x
  2. Step 2: Convert to fraction form
    205,300.40/307,921.80 = 65,073.20/x
  3. Step 3: Cross multiply
    205,300.40x = 307,921.80 × 65,073.20
  4. Step 4: Simplify right side
    205,300.40x = 20,037,456,875.76
  5. Step 5: Solve for x
    x = 20,037,456,875.76/205,300.40
  6. Step 6: Final answer
    x = 97,600.67

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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.