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Finding the Fourth Proportional to 254,099.85, 380,641.62 and 152,841.98

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Solution

The fourth proportional to 254,099.85, 380,641.62 and 152,841.98 is: 228,957.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,099.85 : 380,641.62 = 152,841.98 : x
  2. Step 2: Convert to fraction form
    254,099.85/380,641.62 = 152,841.98/x
  3. Step 3: Cross multiply
    254,099.85x = 380,641.62 × 152,841.98
  4. Step 4: Simplify right side
    254,099.85x = 58,178,016,968.00
  5. Step 5: Solve for x
    x = 58,178,016,968.00/254,099.85
  6. Step 6: Final answer
    x = 228,957.31

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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.