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Finding the Fourth Proportional to 200,966.46, 301,461.06 and 66,039.12

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Solution

The fourth proportional to 200,966.46, 301,461.06 and 66,039.12 is: 99,062.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,966.46 : 301,461.06 = 66,039.12 : x
  2. Step 2: Convert to fraction form
    200,966.46/301,461.06 = 66,039.12/x
  3. Step 3: Cross multiply
    200,966.46x = 301,461.06 × 66,039.12
  4. Step 4: Simplify right side
    200,966.46x = 19,908,223,116.67
  5. Step 5: Solve for x
    x = 19,908,223,116.67/200,966.46
  6. Step 6: Final answer
    x = 99,062.42

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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.