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Finding the Fourth Proportional to 375,200.62, 562,596.80 and 135,281.86

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Solution

The fourth proportional to 375,200.62, 562,596.80 and 135,281.86 is: 202,849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,200.62 : 562,596.80 = 135,281.86 : x
  2. Step 2: Convert to fraction form
    375,200.62/562,596.80 = 135,281.86/x
  3. Step 3: Cross multiply
    375,200.62x = 562,596.80 × 135,281.86
  4. Step 4: Simplify right side
    375,200.62x = 76,109,141,534.05
  5. Step 5: Solve for x
    x = 76,109,141,534.05/375,200.62
  6. Step 6: Final answer
    x = 202,849.19

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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.