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Finding the Fourth Proportional to 342,534.30, 513,801.45 and 105,900.90

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Solution

The fourth proportional to 342,534.30, 513,801.45 and 105,900.90 is: 158,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,534.30 : 513,801.45 = 105,900.90 : x
  2. Step 2: Convert to fraction form
    342,534.30/513,801.45 = 105,900.90/x
  3. Step 3: Cross multiply
    342,534.30x = 513,801.45 × 105,900.90
  4. Step 4: Simplify right side
    342,534.30x = 54,412,035,976.31
  5. Step 5: Solve for x
    x = 54,412,035,976.31/342,534.30
  6. Step 6: Final answer
    x = 158,851.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.