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Finding the Fourth Proportional to 114,297, 157,693.41 and 74,041.62

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Solution

The fourth proportional to 114,297, 157,693.41 and 74,041.62 is: 102,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,297 : 157,693.41 = 74,041.62 : x
  2. Step 2: Convert to fraction form
    114,297/157,693.41 = 74,041.62/x
  3. Step 3: Cross multiply
    114,297x = 157,693.41 × 74,041.62
  4. Step 4: Simplify right side
    114,297x = 11,675,875,539.72
  5. Step 5: Solve for x
    x = 11,675,875,539.72/114,297
  6. Step 6: Final answer
    x = 102,153.82

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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.