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Finding the Fourth Proportional to 211,970.52, 292,435.50 and 136,563

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Solution

The fourth proportional to 211,970.52, 292,435.50 and 136,563 is: 188,402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,970.52 : 292,435.50 = 136,563 : x
  2. Step 2: Convert to fraction form
    211,970.52/292,435.50 = 136,563/x
  3. Step 3: Cross multiply
    211,970.52x = 292,435.50 × 136,563
  4. Step 4: Simplify right side
    211,970.52x = 39,935,869,186.50
  5. Step 5: Solve for x
    x = 39,935,869,186.50/211,970.52
  6. Step 6: Final answer
    x = 188,402.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.