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Finding the Fourth Proportional to 283,980.12, 391,893.66 and 156,653.88

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Solution

The fourth proportional to 283,980.12, 391,893.66 and 156,653.88 is: 216,182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,980.12 : 391,893.66 = 156,653.88 : x
  2. Step 2: Convert to fraction form
    283,980.12/391,893.66 = 156,653.88/x
  3. Step 3: Cross multiply
    283,980.12x = 391,893.66 × 156,653.88
  4. Step 4: Simplify right side
    283,980.12x = 61,391,662,386.40
  5. Step 5: Solve for x
    x = 61,391,662,386.40/283,980.12
  6. Step 6: Final answer
    x = 216,182.96

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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.