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Finding the Fourth Proportional to 118,381.16, 178,370.94 and 97,782.69

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Solution

The fourth proportional to 118,381.16, 178,370.94 and 97,782.69 is: 147,334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,381.16 : 178,370.94 = 97,782.69 : x
  2. Step 2: Convert to fraction form
    118,381.16/178,370.94 = 97,782.69/x
  3. Step 3: Cross multiply
    118,381.16x = 178,370.94 × 97,782.69
  4. Step 4: Simplify right side
    118,381.16x = 17,441,590,331.03
  5. Step 5: Solve for x
    x = 17,441,590,331.03/118,381.16
  6. Step 6: Final answer
    x = 147,334.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.