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Finding the Fourth Proportional to 219,507.46, 302,942.74 and 158,304.22

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Solution

The fourth proportional to 219,507.46, 302,942.74 and 158,304.22 is: 218,476.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,507.46 : 302,942.74 = 158,304.22 : x
  2. Step 2: Convert to fraction form
    219,507.46/302,942.74 = 158,304.22/x
  3. Step 3: Cross multiply
    219,507.46x = 302,942.74 × 158,304.22
  4. Step 4: Simplify right side
    219,507.46x = 47,957,114,160.36
  5. Step 5: Solve for x
    x = 47,957,114,160.36/219,507.46
  6. Step 6: Final answer
    x = 218,476.01

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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.