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Finding the Fourth Proportional to 211,803.50, 292,354.44 and 136,352

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Solution

The fourth proportional to 211,803.50, 292,354.44 and 136,352 is: 188,208.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,803.50 : 292,354.44 = 136,352 : x
  2. Step 2: Convert to fraction form
    211,803.50/292,354.44 = 136,352/x
  3. Step 3: Cross multiply
    211,803.50x = 292,354.44 × 136,352
  4. Step 4: Simplify right side
    211,803.50x = 39,863,112,602.88
  5. Step 5: Solve for x
    x = 39,863,112,602.88/211,803.50
  6. Step 6: Final answer
    x = 188,208.00

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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.