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Finding the Fourth Proportional to 149,492.16, 224,239.05 and 38,684.16

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Solution

The fourth proportional to 149,492.16, 224,239.05 and 38,684.16 is: 58,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,492.16 : 224,239.05 = 38,684.16 : x
  2. Step 2: Convert to fraction form
    149,492.16/224,239.05 = 38,684.16/x
  3. Step 3: Cross multiply
    149,492.16x = 224,239.05 × 38,684.16
  4. Step 4: Simplify right side
    149,492.16x = 8,674,497,973.83
  5. Step 5: Solve for x
    x = 8,674,497,973.83/149,492.16
  6. Step 6: Final answer
    x = 58,026.44

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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.