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Finding the Fourth Proportional to 222,431.10, 333,646.65 and 97,772.10

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Solution

The fourth proportional to 222,431.10, 333,646.65 and 97,772.10 is: 146,658.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,431.10 : 333,646.65 = 97,772.10 : x
  2. Step 2: Convert to fraction form
    222,431.10/333,646.65 = 97,772.10/x
  3. Step 3: Cross multiply
    222,431.10x = 333,646.65 × 97,772.10
  4. Step 4: Simplify right side
    222,431.10x = 32,621,333,628.47
  5. Step 5: Solve for x
    x = 32,621,333,628.47/222,431.10
  6. Step 6: Final answer
    x = 146,658.15

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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.