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Finding the Fourth Proportional to 153,961.98, 230,983.65 and 65,218.74

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Solution

The fourth proportional to 153,961.98, 230,983.65 and 65,218.74 is: 97,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,961.98 : 230,983.65 = 65,218.74 : x
  2. Step 2: Convert to fraction form
    153,961.98/230,983.65 = 65,218.74/x
  3. Step 3: Cross multiply
    153,961.98x = 230,983.65 × 65,218.74
  4. Step 4: Simplify right side
    153,961.98x = 15,064,462,613.60
  5. Step 5: Solve for x
    x = 15,064,462,613.60/153,961.98
  6. Step 6: Final answer
    x = 97,845.34

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1.5x scale

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.