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Finding the Fourth Proportional to 290,988.90, 436,356.10 and 146,806.01

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Solution

The fourth proportional to 290,988.90, 436,356.10 and 146,806.01 is: 220,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,988.90 : 436,356.10 = 146,806.01 : x
  2. Step 2: Convert to fraction form
    290,988.90/436,356.10 = 146,806.01/x
  3. Step 3: Cross multiply
    290,988.90x = 436,356.10 × 146,806.01
  4. Step 4: Simplify right side
    290,988.90x = 64,059,695,064.35
  5. Step 5: Solve for x
    x = 64,059,695,064.35/290,988.90
  6. Step 6: Final answer
    x = 220,144.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.