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Finding the Fourth Proportional to 153,314.68, 229,973.04 and 53,474.50

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Solution

The fourth proportional to 153,314.68, 229,973.04 and 53,474.50 is: 80,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,314.68 : 229,973.04 = 53,474.50 : x
  2. Step 2: Convert to fraction form
    153,314.68/229,973.04 = 53,474.50/x
  3. Step 3: Cross multiply
    153,314.68x = 229,973.04 × 53,474.50
  4. Step 4: Simplify right side
    153,314.68x = 12,297,693,327.48
  5. Step 5: Solve for x
    x = 12,297,693,327.48/153,314.68
  6. Step 6: Final answer
    x = 80,212.11

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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.