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Finding the Fourth Proportional to 149,853, 224,779.50 and 39,045

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Solution

The fourth proportional to 149,853, 224,779.50 and 39,045 is: 58,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,853 : 224,779.50 = 39,045 : x
  2. Step 2: Convert to fraction form
    149,853/224,779.50 = 39,045/x
  3. Step 3: Cross multiply
    149,853x = 224,779.50 × 39,045
  4. Step 4: Simplify right side
    149,853x = 8,776,515,577.50
  5. Step 5: Solve for x
    x = 8,776,515,577.50/149,853
  6. Step 6: Final answer
    x = 58,567.50

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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.