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Finding the Fourth Proportional to 222,499.36, 333,792.60 and 97,840

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Solution

The fourth proportional to 222,499.36, 333,792.60 and 97,840 is: 146,779.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,499.36 : 333,792.60 = 97,840 : x
  2. Step 2: Convert to fraction form
    222,499.36/333,792.60 = 97,840/x
  3. Step 3: Cross multiply
    222,499.36x = 333,792.60 × 97,840
  4. Step 4: Simplify right side
    222,499.36x = 32,658,267,984.00
  5. Step 5: Solve for x
    x = 32,658,267,984.00/222,499.36
  6. Step 6: Final answer
    x = 146,779.15

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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.