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Finding the Fourth Proportional to 152,101.50, 228,152.26 and 41,293.50

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Solution

The fourth proportional to 152,101.50, 228,152.26 and 41,293.50 is: 61,940.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,101.50 : 228,152.26 = 41,293.50 : x
  2. Step 2: Convert to fraction form
    152,101.50/228,152.26 = 41,293.50/x
  3. Step 3: Cross multiply
    152,101.50x = 228,152.26 × 41,293.50
  4. Step 4: Simplify right side
    152,101.50x = 9,421,205,348.31
  5. Step 5: Solve for x
    x = 9,421,205,348.31/152,101.50
  6. Step 6: Final answer
    x = 61,940.25

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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.