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Finding the Fourth Proportional to 261,002.14, 360,208.23 and 146,300.26

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Solution

The fourth proportional to 261,002.14, 360,208.23 and 146,300.26 is: 201,908.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,002.14 : 360,208.23 = 146,300.26 : x
  2. Step 2: Convert to fraction form
    261,002.14/360,208.23 = 146,300.26/x
  3. Step 3: Cross multiply
    261,002.14x = 360,208.23 × 146,300.26
  4. Step 4: Simplify right side
    261,002.14x = 52,698,557,703.14
  5. Step 5: Solve for x
    x = 52,698,557,703.14/261,002.14
  6. Step 6: Final answer
    x = 201,908.53

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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.