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Finding the Fourth Proportional to 229,967.34, 317,354.85 and 129,365.34

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Solution

The fourth proportional to 229,967.34, 317,354.85 and 129,365.34 is: 178,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,967.34 : 317,354.85 = 129,365.34 : x
  2. Step 2: Convert to fraction form
    229,967.34/317,354.85 = 129,365.34/x
  3. Step 3: Cross multiply
    229,967.34x = 317,354.85 × 129,365.34
  4. Step 4: Simplify right side
    229,967.34x = 41,054,718,070.90
  5. Step 5: Solve for x
    x = 41,054,718,070.90/229,967.34
  6. Step 6: Final answer
    x = 178,524.12

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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.