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Finding the Fourth Proportional to 255,694.40, 383,541.60 and 97,841.60

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Solution

The fourth proportional to 255,694.40, 383,541.60 and 97,841.60 is: 146,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,694.40 : 383,541.60 = 97,841.60 : x
  2. Step 2: Convert to fraction form
    255,694.40/383,541.60 = 97,841.60/x
  3. Step 3: Cross multiply
    255,694.40x = 383,541.60 × 97,841.60
  4. Step 4: Simplify right side
    255,694.40x = 37,526,323,810.56
  5. Step 5: Solve for x
    x = 37,526,323,810.56/255,694.40
  6. Step 6: Final answer
    x = 146,762.40

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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.