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Finding the Fourth Proportional to 262,875.60, 394,475.40 and 105,087.60

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Solution

The fourth proportional to 262,875.60, 394,475.40 and 105,087.60 is: 157,696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,875.60 : 394,475.40 = 105,087.60 : x
  2. Step 2: Convert to fraction form
    262,875.60/394,475.40 = 105,087.60/x
  3. Step 3: Cross multiply
    262,875.60x = 394,475.40 × 105,087.60
  4. Step 4: Simplify right side
    262,875.60x = 41,454,473,045.04
  5. Step 5: Solve for x
    x = 41,454,473,045.04/262,875.60
  6. Step 6: Final answer
    x = 157,696.16

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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.