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Finding the Fourth Proportional to 152,102.50, 228,153.75 and 41,294.50

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Solution

The fourth proportional to 152,102.50, 228,153.75 and 41,294.50 is: 61,941.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,102.50 : 228,153.75 = 41,294.50 : x
  2. Step 2: Convert to fraction form
    152,102.50/228,153.75 = 41,294.50/x
  3. Step 3: Cross multiply
    152,102.50x = 228,153.75 × 41,294.50
  4. Step 4: Simplify right side
    152,102.50x = 9,421,495,029.38
  5. Step 5: Solve for x
    x = 9,421,495,029.38/152,102.50
  6. Step 6: Final answer
    x = 61,941.75

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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.