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Finding the Fourth Proportional to 205,059.60, 307,632.60 and 64,832.40

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Solution

The fourth proportional to 205,059.60, 307,632.60 and 64,832.40 is: 97,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,059.60 : 307,632.60 = 64,832.40 : x
  2. Step 2: Convert to fraction form
    205,059.60/307,632.60 = 64,832.40/x
  3. Step 3: Cross multiply
    205,059.60x = 307,632.60 × 64,832.40
  4. Step 4: Simplify right side
    205,059.60x = 19,944,559,776.24
  5. Step 5: Solve for x
    x = 19,944,559,776.24/205,059.60
  6. Step 6: Final answer
    x = 97,262.26

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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.