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Finding the Fourth Proportional to 146,644.65, 202,461.03 and 112,585.32

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Solution

The fourth proportional to 146,644.65, 202,461.03 and 112,585.32 is: 155,437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,644.65 : 202,461.03 = 112,585.32 : x
  2. Step 2: Convert to fraction form
    146,644.65/202,461.03 = 112,585.32/x
  3. Step 3: Cross multiply
    146,644.65x = 202,461.03 × 112,585.32
  4. Step 4: Simplify right side
    146,644.65x = 22,794,139,850.08
  5. Step 5: Solve for x
    x = 22,794,139,850.08/146,644.65
  6. Step 6: Final answer
    x = 155,437.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.