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Finding the Fourth Proportional to 301,011.24, 415,389.42 and 166,875.24

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Solution

The fourth proportional to 301,011.24, 415,389.42 and 166,875.24 is: 230,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,011.24 : 415,389.42 = 166,875.24 : x
  2. Step 2: Convert to fraction form
    301,011.24/415,389.42 = 166,875.24/x
  3. Step 3: Cross multiply
    301,011.24x = 415,389.42 × 166,875.24
  4. Step 4: Simplify right side
    301,011.24x = 69,318,209,155.96
  5. Step 5: Solve for x
    x = 69,318,209,155.96/301,011.24
  6. Step 6: Final answer
    x = 230,284.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.