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Finding the Fourth Proportional to 261,539.94, 360,914.49 and 148,360.26

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Solution

The fourth proportional to 261,539.94, 360,914.49 and 148,360.26 is: 204,731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,539.94 : 360,914.49 = 148,360.26 : x
  2. Step 2: Convert to fraction form
    261,539.94/360,914.49 = 148,360.26/x
  3. Step 3: Cross multiply
    261,539.94x = 360,914.49 × 148,360.26
  4. Step 4: Simplify right side
    261,539.94x = 53,545,367,574.17
  5. Step 5: Solve for x
    x = 53,545,367,574.17/261,539.94
  6. Step 6: Final answer
    x = 204,731.13

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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.