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Finding the Fourth Proportional to 264,740.60, 397,025.52 and 87,205.40

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Solution

The fourth proportional to 264,740.60, 397,025.52 and 87,205.40 is: 130,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,740.60 : 397,025.52 = 87,205.40 : x
  2. Step 2: Convert to fraction form
    264,740.60/397,025.52 = 87,205.40/x
  3. Step 3: Cross multiply
    264,740.60x = 397,025.52 × 87,205.40
  4. Step 4: Simplify right side
    264,740.60x = 34,622,769,281.81
  5. Step 5: Solve for x
    x = 34,622,769,281.81/264,740.60
  6. Step 6: Final answer
    x = 130,779.98

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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.