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Finding the Fourth Proportional to 254,389.76, 351,069.60 and 146,973.92

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Solution

The fourth proportional to 254,389.76, 351,069.60 and 146,973.92 is: 202,830.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,389.76 : 351,069.60 = 146,973.92 : x
  2. Step 2: Convert to fraction form
    254,389.76/351,069.60 = 146,973.92/x
  3. Step 3: Cross multiply
    254,389.76x = 351,069.60 × 146,973.92
  4. Step 4: Simplify right side
    254,389.76x = 51,598,075,304.83
  5. Step 5: Solve for x
    x = 51,598,075,304.83/254,389.76
  6. Step 6: Final answer
    x = 202,830.79

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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.