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Finding the Fourth Proportional to 114,494.82, 157,970.52 and 74,210.28

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Solution

The fourth proportional to 114,494.82, 157,970.52 and 74,210.28 is: 102,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,494.82 : 157,970.52 = 74,210.28 : x
  2. Step 2: Convert to fraction form
    114,494.82/157,970.52 = 74,210.28/x
  3. Step 3: Cross multiply
    114,494.82x = 157,970.52 × 74,210.28
  4. Step 4: Simplify right side
    114,494.82x = 11,723,036,520.95
  5. Step 5: Solve for x
    x = 11,723,036,520.95/114,494.82
  6. Step 6: Final answer
    x = 102,389.23

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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.