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Finding the Fourth Proportional to 202,133.16, 302,909.09 and 139,024.54

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Solution

The fourth proportional to 202,133.16, 302,909.09 and 139,024.54 is: 208,336.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,133.16 : 302,909.09 = 139,024.54 : x
  2. Step 2: Convert to fraction form
    202,133.16/302,909.09 = 139,024.54/x
  3. Step 3: Cross multiply
    202,133.16x = 302,909.09 × 139,024.54
  4. Step 4: Simplify right side
    202,133.16x = 42,111,796,582.58
  5. Step 5: Solve for x
    x = 42,111,796,582.58/202,133.16
  6. Step 6: Final answer
    x = 208,336.90

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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.