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Finding the Fourth Proportional to 230,642.06, 345,987.70 and 97,535.77

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Solution

The fourth proportional to 230,642.06, 345,987.70 and 97,535.77 is: 146,314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,642.06 : 345,987.70 = 97,535.77 : x
  2. Step 2: Convert to fraction form
    230,642.06/345,987.70 = 97,535.77/x
  3. Step 3: Cross multiply
    230,642.06x = 345,987.70 × 97,535.77
  4. Step 4: Simplify right side
    230,642.06x = 33,746,175,621.22
  5. Step 5: Solve for x
    x = 33,746,175,621.22/230,642.06
  6. Step 6: Final answer
    x = 146,314.06

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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.