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Finding the Fourth Proportional to 205,063.60, 307,595.40 and 64,865.20

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Solution

The fourth proportional to 205,063.60, 307,595.40 and 64,865.20 is: 97,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,063.60 : 307,595.40 = 64,865.20 : x
  2. Step 2: Convert to fraction form
    205,063.60/307,595.40 = 64,865.20/x
  3. Step 3: Cross multiply
    205,063.60x = 307,595.40 × 64,865.20
  4. Step 4: Simplify right side
    205,063.60x = 19,952,237,140.08
  5. Step 5: Solve for x
    x = 19,952,237,140.08/205,063.60
  6. Step 6: Final answer
    x = 97,297.80

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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.