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Finding the Fourth Proportional to 147,676.10, 204,068.88 and 120,808.80

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Solution

The fourth proportional to 147,676.10, 204,068.88 and 120,808.80 is: 166,941.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,676.10 : 204,068.88 = 120,808.80 : x
  2. Step 2: Convert to fraction form
    147,676.10/204,068.88 = 120,808.80/x
  3. Step 3: Cross multiply
    147,676.10x = 204,068.88 × 120,808.80
  4. Step 4: Simplify right side
    147,676.10x = 24,653,316,510.14
  5. Step 5: Solve for x
    x = 24,653,316,510.14/147,676.10
  6. Step 6: Final answer
    x = 166,941.82

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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.