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Finding the Fourth Proportional to 200,671.40, 301,007.10 and 190,829.90

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Solution

The fourth proportional to 200,671.40, 301,007.10 and 190,829.90 is: 286,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,671.40 : 301,007.10 = 190,829.90 : x
  2. Step 2: Convert to fraction form
    200,671.40/301,007.10 = 190,829.90/x
  3. Step 3: Cross multiply
    200,671.40x = 301,007.10 × 190,829.90
  4. Step 4: Simplify right side
    200,671.40x = 57,441,154,792.29
  5. Step 5: Solve for x
    x = 57,441,154,792.29/200,671.40
  6. Step 6: Final answer
    x = 286,244.85

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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.