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Finding the Fourth Proportional to 219,043.46, 302,294.08 and 123,548.10

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Solution

The fourth proportional to 219,043.46, 302,294.08 and 123,548.10 is: 170,504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,043.46 : 302,294.08 = 123,548.10 : x
  2. Step 2: Convert to fraction form
    219,043.46/302,294.08 = 123,548.10/x
  3. Step 3: Cross multiply
    219,043.46x = 302,294.08 × 123,548.10
  4. Step 4: Simplify right side
    219,043.46x = 37,347,859,672.11
  5. Step 5: Solve for x
    x = 37,347,859,672.11/219,043.46
  6. Step 6: Final answer
    x = 170,504.34

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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.