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Finding the Fourth Proportional to 229,410.34, 316,620.76 and 165,092.50

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Solution

The fourth proportional to 229,410.34, 316,620.76 and 165,092.50 is: 227,852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,410.34 : 316,620.76 = 165,092.50 : x
  2. Step 2: Convert to fraction form
    229,410.34/316,620.76 = 165,092.50/x
  3. Step 3: Cross multiply
    229,410.34x = 316,620.76 × 165,092.50
  4. Step 4: Simplify right side
    229,410.34x = 52,271,712,820.30
  5. Step 5: Solve for x
    x = 52,271,712,820.30/229,410.34
  6. Step 6: Final answer
    x = 227,852.47

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1.5x scale

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.