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Finding the Fourth Proportional to 200,503.18, 300,547.41 and 95,242.06

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Solution

The fourth proportional to 200,503.18, 300,547.41 and 95,242.06 is: 142,764.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,503.18 : 300,547.41 = 95,242.06 : x
  2. Step 2: Convert to fraction form
    200,503.18/300,547.41 = 95,242.06/x
  3. Step 3: Cross multiply
    200,503.18x = 300,547.41 × 95,242.06
  4. Step 4: Simplify right side
    200,503.18x = 28,624,754,456.06
  5. Step 5: Solve for x
    x = 28,624,754,456.06/200,503.18
  6. Step 6: Final answer
    x = 142,764.59

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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.