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Finding the Fourth Proportional to 261,006.02, 360,213.57 and 146,304.14

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Solution

The fourth proportional to 261,006.02, 360,213.57 and 146,304.14 is: 201,913.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,006.02 : 360,213.57 = 146,304.14 : x
  2. Step 2: Convert to fraction form
    261,006.02/360,213.57 = 146,304.14/x
  3. Step 3: Cross multiply
    261,006.02x = 360,213.57 × 146,304.14
  4. Step 4: Simplify right side
    261,006.02x = 52,700,734,774.11
  5. Step 5: Solve for x
    x = 52,700,734,774.11/261,006.02
  6. Step 6: Final answer
    x = 201,913.87

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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.