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Finding the Fourth Proportional to 133,851.80, 200,547.30 and 70,578.20

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Solution

The fourth proportional to 133,851.80, 200,547.30 and 70,578.20 is: 105,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,851.80 : 200,547.30 = 70,578.20 : x
  2. Step 2: Convert to fraction form
    133,851.80/200,547.30 = 70,578.20/x
  3. Step 3: Cross multiply
    133,851.80x = 200,547.30 × 70,578.20
  4. Step 4: Simplify right side
    133,851.80x = 14,154,267,448.86
  5. Step 5: Solve for x
    x = 14,154,267,448.86/133,851.80
  6. Step 6: Final answer
    x = 105,745.81

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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.