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Finding the Fourth Proportional to 199,812.16, 299,459.90 and 149,497.50

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Solution

The fourth proportional to 199,812.16, 299,459.90 and 149,497.50 is: 224,052.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,812.16 : 299,459.90 = 149,497.50 : x
  2. Step 2: Convert to fraction form
    199,812.16/299,459.90 = 149,497.50/x
  3. Step 3: Cross multiply
    199,812.16x = 299,459.90 × 149,497.50
  4. Step 4: Simplify right side
    199,812.16x = 44,768,506,400.25
  5. Step 5: Solve for x
    x = 44,768,506,400.25/199,812.16
  6. Step 6: Final answer
    x = 224,052.96

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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.