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Finding the Fourth Proportional to 205,411.90, 288,406.10 and 205,411.90

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Solution

The fourth proportional to 205,411.90, 288,406.10 and 205,411.90 is: 288,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,411.90 : 288,406.10 = 205,411.90 : x
  2. Step 2: Convert to fraction form
    205,411.90/288,406.10 = 205,411.90/x
  3. Step 3: Cross multiply
    205,411.90x = 288,406.10 × 205,411.90
  4. Step 4: Simplify right side
    205,411.90x = 59,242,044,972.59
  5. Step 5: Solve for x
    x = 59,242,044,972.59/205,411.90
  6. Step 6: Final answer
    x = 288,406.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.