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Finding the Fourth Proportional to 261,192.96, 360,467.28 and 148,023

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Solution

The fourth proportional to 261,192.96, 360,467.28 and 148,023 is: 204,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,192.96 : 360,467.28 = 148,023 : x
  2. Step 2: Convert to fraction form
    261,192.96/360,467.28 = 148,023/x
  3. Step 3: Cross multiply
    261,192.96x = 360,467.28 × 148,023
  4. Step 4: Simplify right side
    261,192.96x = 53,357,448,187.44
  5. Step 5: Solve for x
    x = 53,357,448,187.44/261,192.96
  6. Step 6: Final answer
    x = 204,283.64

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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.