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Finding the Fourth Proportional to 260,123.60, 390,185.40 and 102,357.20

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Solution

The fourth proportional to 260,123.60, 390,185.40 and 102,357.20 is: 153,535.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,123.60 : 390,185.40 = 102,357.20 : x
  2. Step 2: Convert to fraction form
    260,123.60/390,185.40 = 102,357.20/x
  3. Step 3: Cross multiply
    260,123.60x = 390,185.40 × 102,357.20
  4. Step 4: Simplify right side
    260,123.60x = 39,938,285,024.88
  5. Step 5: Solve for x
    x = 39,938,285,024.88/260,123.60
  6. Step 6: Final answer
    x = 153,535.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.