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Finding the Fourth Proportional to 282,585.42, 423,812.37 and 105,175.98

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Solution

The fourth proportional to 282,585.42, 423,812.37 and 105,175.98 is: 157,739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,585.42 : 423,812.37 = 105,175.98 : x
  2. Step 2: Convert to fraction form
    282,585.42/423,812.37 = 105,175.98/x
  3. Step 3: Cross multiply
    282,585.42x = 423,812.37 × 105,175.98
  4. Step 4: Simplify right side
    282,585.42x = 44,574,881,350.87
  5. Step 5: Solve for x
    x = 44,574,881,350.87/282,585.42
  6. Step 6: Final answer
    x = 157,739.49

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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.