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Finding the Fourth Proportional to 145,522.76, 218,284.19 and 65,467.22

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Solution

The fourth proportional to 145,522.76, 218,284.19 and 65,467.22 is: 98,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,522.76 : 218,284.19 = 65,467.22 : x
  2. Step 2: Convert to fraction form
    145,522.76/218,284.19 = 65,467.22/x
  3. Step 3: Cross multiply
    145,522.76x = 218,284.19 × 65,467.22
  4. Step 4: Simplify right side
    145,522.76x = 14,290,459,089.25
  5. Step 5: Solve for x
    x = 14,290,459,089.25/145,522.76
  6. Step 6: Final answer
    x = 98,200.85

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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.