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Finding the Fourth Proportional to 205,706.64, 307,706.88 and 193,109.52

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Solution

The fourth proportional to 205,706.64, 307,706.88 and 193,109.52 is: 288,863.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,706.64 : 307,706.88 = 193,109.52 : x
  2. Step 2: Convert to fraction form
    205,706.64/307,706.88 = 193,109.52/x
  3. Step 3: Cross multiply
    205,706.64x = 307,706.88 × 193,109.52
  4. Step 4: Simplify right side
    205,706.64x = 59,421,127,897.50
  5. Step 5: Solve for x
    x = 59,421,127,897.50/205,706.64
  6. Step 6: Final answer
    x = 288,863.44

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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.