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Finding the Fourth Proportional to 219,209.40, 328,814.10 and 101,111.40

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Solution

The fourth proportional to 219,209.40, 328,814.10 and 101,111.40 is: 151,667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,209.40 : 328,814.10 = 101,111.40 : x
  2. Step 2: Convert to fraction form
    219,209.40/328,814.10 = 101,111.40/x
  3. Step 3: Cross multiply
    219,209.40x = 328,814.10 × 101,111.40
  4. Step 4: Simplify right side
    219,209.40x = 33,246,853,990.74
  5. Step 5: Solve for x
    x = 33,246,853,990.74/219,209.40
  6. Step 6: Final answer
    x = 151,667.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.