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Finding the Fourth Proportional to 205,657.52, 307,929.76 and 134,402.64

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Solution

The fourth proportional to 205,657.52, 307,929.76 and 134,402.64 is: 201,240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,657.52 : 307,929.76 = 134,402.64 : x
  2. Step 2: Convert to fraction form
    205,657.52/307,929.76 = 134,402.64/x
  3. Step 3: Cross multiply
    205,657.52x = 307,929.76 × 134,402.64
  4. Step 4: Simplify right side
    205,657.52x = 41,386,572,678.57
  5. Step 5: Solve for x
    x = 41,386,572,678.57/205,657.52
  6. Step 6: Final answer
    x = 201,240.26

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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.