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Finding the Fourth Proportional to 153,805.70, 230,733.16 and 65,084.58

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Solution

The fourth proportional to 153,805.70, 230,733.16 and 65,084.58 is: 97,637.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,805.70 : 230,733.16 = 65,084.58 : x
  2. Step 2: Convert to fraction form
    153,805.70/230,733.16 = 65,084.58/x
  3. Step 3: Cross multiply
    153,805.70x = 230,733.16 × 65,084.58
  4. Step 4: Simplify right side
    153,805.70x = 15,017,170,647.96
  5. Step 5: Solve for x
    x = 15,017,170,647.96/153,805.70
  6. Step 6: Final answer
    x = 97,637.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.