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Finding the Fourth Proportional to 260,025.60, 390,038.40 and 102,259.20

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Solution

The fourth proportional to 260,025.60, 390,038.40 and 102,259.20 is: 153,388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,025.60 : 390,038.40 = 102,259.20 : x
  2. Step 2: Convert to fraction form
    260,025.60/390,038.40 = 102,259.20/x
  3. Step 3: Cross multiply
    260,025.60x = 390,038.40 × 102,259.20
  4. Step 4: Simplify right side
    260,025.60x = 39,885,014,753.28
  5. Step 5: Solve for x
    x = 39,885,014,753.28/260,025.60
  6. Step 6: Final answer
    x = 153,388.80

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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.