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Finding the Fourth Proportional to 149,851, 224,776.50 and 39,043

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Solution

The fourth proportional to 149,851, 224,776.50 and 39,043 is: 58,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,851 : 224,776.50 = 39,043 : x
  2. Step 2: Convert to fraction form
    149,851/224,776.50 = 39,043/x
  3. Step 3: Cross multiply
    149,851x = 224,776.50 × 39,043
  4. Step 4: Simplify right side
    149,851x = 8,775,948,889.50
  5. Step 5: Solve for x
    x = 8,775,948,889.50/149,851
  6. Step 6: Final answer
    x = 58,564.50

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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.