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Finding the Fourth Proportional to 347,903.80, 521,904.30 and 148,222.60

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Solution

The fourth proportional to 347,903.80, 521,904.30 and 148,222.60 is: 222,354.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,903.80 : 521,904.30 = 148,222.60 : x
  2. Step 2: Convert to fraction form
    347,903.80/521,904.30 = 148,222.60/x
  3. Step 3: Cross multiply
    347,903.80x = 521,904.30 × 148,222.60
  4. Step 4: Simplify right side
    347,903.80x = 77,358,012,297.18
  5. Step 5: Solve for x
    x = 77,358,012,297.18/347,903.80
  6. Step 6: Final answer
    x = 222,354.61

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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.