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Finding the Fourth Proportional to 155,356.34, 232,872.92 and 105,440.50

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Solution

The fourth proportional to 155,356.34, 232,872.92 and 105,440.50 is: 158,051.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,356.34 : 232,872.92 = 105,440.50 : x
  2. Step 2: Convert to fraction form
    155,356.34/232,872.92 = 105,440.50/x
  3. Step 3: Cross multiply
    155,356.34x = 232,872.92 × 105,440.50
  4. Step 4: Simplify right side
    155,356.34x = 24,554,235,429.69
  5. Step 5: Solve for x
    x = 24,554,235,429.69/155,356.34
  6. Step 6: Final answer
    x = 158,051.07

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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.