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Finding the Fourth Proportional to 522,106.38, 783,160.26 and 143,030.46

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Solution

The fourth proportional to 522,106.38, 783,160.26 and 143,030.46 is: 214,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,106.38 : 783,160.26 = 143,030.46 : x
  2. Step 2: Convert to fraction form
    522,106.38/783,160.26 = 143,030.46/x
  3. Step 3: Cross multiply
    522,106.38x = 783,160.26 × 143,030.46
  4. Step 4: Simplify right side
    522,106.38x = 112,015,772,241.52
  5. Step 5: Solve for x
    x = 112,015,772,241.52/522,106.38
  6. Step 6: Final answer
    x = 214,545.88

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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.