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Finding the Fourth Proportional to 255,123.20, 382,830.60 and 97,464.80

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Solution

The fourth proportional to 255,123.20, 382,830.60 and 97,464.80 is: 146,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,123.20 : 382,830.60 = 97,464.80 : x
  2. Step 2: Convert to fraction form
    255,123.20/382,830.60 = 97,464.80/x
  3. Step 3: Cross multiply
    255,123.20x = 382,830.60 × 97,464.80
  4. Step 4: Simplify right side
    255,123.20x = 37,312,507,862.88
  5. Step 5: Solve for x
    x = 37,312,507,862.88/255,123.20
  6. Step 6: Final answer
    x = 146,252.90

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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.