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Finding the Fourth Proportional to 261,428.09, 360,756.09 and 146,696.04

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Solution

The fourth proportional to 261,428.09, 360,756.09 and 146,696.04 is: 202,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,428.09 : 360,756.09 = 146,696.04 : x
  2. Step 2: Convert to fraction form
    261,428.09/360,756.09 = 146,696.04/x
  3. Step 3: Cross multiply
    261,428.09x = 360,756.09 × 146,696.04
  4. Step 4: Simplify right side
    261,428.09x = 52,921,489,808.88
  5. Step 5: Solve for x
    x = 52,921,489,808.88/261,428.09
  6. Step 6: Final answer
    x = 202,432.30

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Why These Related Problems?

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