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Finding the Fourth Proportional to 158,495.64, 218,746.41 and 98,085.75

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Solution

The fourth proportional to 158,495.64, 218,746.41 and 98,085.75 is: 135,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,495.64 : 218,746.41 = 98,085.75 : x
  2. Step 2: Convert to fraction form
    158,495.64/218,746.41 = 98,085.75/x
  3. Step 3: Cross multiply
    158,495.64x = 218,746.41 × 98,085.75
  4. Step 4: Simplify right side
    158,495.64x = 21,455,905,684.66
  5. Step 5: Solve for x
    x = 21,455,905,684.66/158,495.64
  6. Step 6: Final answer
    x = 135,372.21

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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.