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Finding the Fourth Proportional to 260,088, 390,132.16 and 63,096

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Solution

The fourth proportional to 260,088, 390,132.16 and 63,096 is: 94,644.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,088 : 390,132.16 = 63,096 : x
  2. Step 2: Convert to fraction form
    260,088/390,132.16 = 63,096/x
  3. Step 3: Cross multiply
    260,088x = 390,132.16 × 63,096
  4. Step 4: Simplify right side
    260,088x = 24,615,778,767.36
  5. Step 5: Solve for x
    x = 24,615,778,767.36/260,088
  6. Step 6: Final answer
    x = 94,644.04

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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.