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Finding the Fourth Proportional to 134,152, 185,135.52 and 74,536

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Solution

The fourth proportional to 134,152, 185,135.52 and 74,536 is: 102,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,152 : 185,135.52 = 74,536 : x
  2. Step 2: Convert to fraction form
    134,152/185,135.52 = 74,536/x
  3. Step 3: Cross multiply
    134,152x = 185,135.52 × 74,536
  4. Step 4: Simplify right side
    134,152x = 13,799,261,118.72
  5. Step 5: Solve for x
    x = 13,799,261,118.72/134,152
  6. Step 6: Final answer
    x = 102,862.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.