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Finding the Fourth Proportional to 264,877.20, 397,315.80 and 87,411.60

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Solution

The fourth proportional to 264,877.20, 397,315.80 and 87,411.60 is: 131,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,877.20 : 397,315.80 = 87,411.60 : x
  2. Step 2: Convert to fraction form
    264,877.20/397,315.80 = 87,411.60/x
  3. Step 3: Cross multiply
    264,877.20x = 397,315.80 × 87,411.60
  4. Step 4: Simplify right side
    264,877.20x = 34,730,009,783.28
  5. Step 5: Solve for x
    x = 34,730,009,783.28/264,877.20
  6. Step 6: Final answer
    x = 131,117.40

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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.