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Finding the Fourth Proportional to 102,987.37, 153,708.91 and 96,261.32

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Solution

The fourth proportional to 102,987.37, 153,708.91 and 96,261.32 is: 143,670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,987.37 : 153,708.91 = 96,261.32 : x
  2. Step 2: Convert to fraction form
    102,987.37/153,708.91 = 96,261.32/x
  3. Step 3: Cross multiply
    102,987.37x = 153,708.91 × 96,261.32
  4. Step 4: Simplify right side
    102,987.37x = 14,796,222,162.49
  5. Step 5: Solve for x
    x = 14,796,222,162.49/102,987.37
  6. Step 6: Final answer
    x = 143,670.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.