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Finding the Fourth Proportional to 260,101.64, 390,152.46 and 73,113.14

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Solution

The fourth proportional to 260,101.64, 390,152.46 and 73,113.14 is: 109,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,101.64 : 390,152.46 = 73,113.14 : x
  2. Step 2: Convert to fraction form
    260,101.64/390,152.46 = 73,113.14/x
  3. Step 3: Cross multiply
    260,101.64x = 390,152.46 × 73,113.14
  4. Step 4: Simplify right side
    260,101.64x = 28,525,272,404.71
  5. Step 5: Solve for x
    x = 28,525,272,404.71/260,101.64
  6. Step 6: Final answer
    x = 109,669.71

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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.