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Finding the Fourth Proportional to 155,565, 233,347.50 and 44,757

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Solution

The fourth proportional to 155,565, 233,347.50 and 44,757 is: 67,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,565 : 233,347.50 = 44,757 : x
  2. Step 2: Convert to fraction form
    155,565/233,347.50 = 44,757/x
  3. Step 3: Cross multiply
    155,565x = 233,347.50 × 44,757
  4. Step 4: Simplify right side
    155,565x = 10,443,934,057.50
  5. Step 5: Solve for x
    x = 10,443,934,057.50/155,565
  6. Step 6: Final answer
    x = 67,135.50

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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.