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Finding the Fourth Proportional to 230,301, 345,451.50 and 98,973

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Solution

The fourth proportional to 230,301, 345,451.50 and 98,973 is: 148,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,301 : 345,451.50 = 98,973 : x
  2. Step 2: Convert to fraction form
    230,301/345,451.50 = 98,973/x
  3. Step 3: Cross multiply
    230,301x = 345,451.50 × 98,973
  4. Step 4: Simplify right side
    230,301x = 34,190,371,309.50
  5. Step 5: Solve for x
    x = 34,190,371,309.50/230,301
  6. Step 6: Final answer
    x = 148,459.50

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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.