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Finding the Fourth Proportional to 357,205.60, 535,063.20 and 167,827.60

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Solution

The fourth proportional to 357,205.60, 535,063.20 and 167,827.60 is: 251,391.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,205.60 : 535,063.20 = 167,827.60 : x
  2. Step 2: Convert to fraction form
    357,205.60/535,063.20 = 167,827.60/x
  3. Step 3: Cross multiply
    357,205.60x = 535,063.20 × 167,827.60
  4. Step 4: Simplify right side
    357,205.60x = 89,798,372,704.32
  5. Step 5: Solve for x
    x = 89,798,372,704.32/357,205.60
  6. Step 6: Final answer
    x = 251,391.28

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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.